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Finding the Fourth Proportional to 17,836.38, 24,614.41 and 9,878.74

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Solution

The fourth proportional to 17,836.38, 24,614.41 and 9,878.74 is: 13,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,836.38 : 24,614.41 = 9,878.74 : x
  2. Step 2: Convert to fraction form
    17,836.38/24,614.41 = 9,878.74/x
  3. Step 3: Cross multiply
    17,836.38x = 24,614.41 × 9,878.74
  4. Step 4: Simplify right side
    17,836.38x = 243,159,356.64
  5. Step 5: Solve for x
    x = 243,159,356.64/17,836.38
  6. Step 6: Final answer
    x = 13,632.78

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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.