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Finding the Fourth Proportional to 17,800.16, 24,564.33 and 9,842.49

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Solution

The fourth proportional to 17,800.16, 24,564.33 and 9,842.49 is: 13,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.16 : 24,564.33 = 9,842.49 : x
  2. Step 2: Convert to fraction form
    17,800.16/24,564.33 = 9,842.49/x
  3. Step 3: Cross multiply
    17,800.16x = 24,564.33 × 9,842.49
  4. Step 4: Simplify right side
    17,800.16x = 241,774,172.38
  5. Step 5: Solve for x
    x = 241,774,172.38/17,800.16
  6. Step 6: Final answer
    x = 13,582.70

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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.