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Finding the Fourth Proportional to 13,691.71, 18,894.54 and 7,404.10

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Solution

The fourth proportional to 13,691.71, 18,894.54 and 7,404.10 is: 10,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.71 : 18,894.54 = 7,404.10 : x
  2. Step 2: Convert to fraction form
    13,691.71/18,894.54 = 7,404.10/x
  3. Step 3: Cross multiply
    13,691.71x = 18,894.54 × 7,404.10
  4. Step 4: Simplify right side
    13,691.71x = 139,897,063.61
  5. Step 5: Solve for x
    x = 139,897,063.61/13,691.71
  6. Step 6: Final answer
    x = 10,217.65

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