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Finding the Fourth Proportional to 17,854.35, 24,640.77 and 9,898.11

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Solution

The fourth proportional to 17,854.35, 24,640.77 and 9,898.11 is: 13,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.35 : 24,640.77 = 9,898.11 : x
  2. Step 2: Convert to fraction form
    17,854.35/24,640.77 = 9,898.11/x
  3. Step 3: Cross multiply
    17,854.35x = 24,640.77 × 9,898.11
  4. Step 4: Simplify right side
    17,854.35x = 243,897,081.96
  5. Step 5: Solve for x
    x = 243,897,081.96/17,854.35
  6. Step 6: Final answer
    x = 13,660.37

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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.