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Finding the Fourth Proportional to 18,101,830.46, 24,981,017.02 and 9,842,448.38

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Solution

The fourth proportional to 18,101,830.46, 24,981,017.02 and 9,842,448.38 is: 13,582,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101,830.46 : 24,981,017.02 = 9,842,448.38 : x
  2. Step 2: Convert to fraction form
    18,101,830.46/24,981,017.02 = 9,842,448.38/x
  3. Step 3: Cross multiply
    18,101,830.46x = 24,981,017.02 × 9,842,448.38
  4. Step 4: Simplify right side
    18,101,830.46x = 245,874,370,349,740.22
  5. Step 5: Solve for x
    x = 245,874,370,349,740.22/18,101,830.46
  6. Step 6: Final answer
    x = 13,582,845.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.