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Finding the Fourth Proportional to 17,856.59, 24,640.43 and 9,898.14

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Solution

The fourth proportional to 17,856.59, 24,640.43 and 9,898.14 is: 13,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.59 : 24,640.43 = 9,898.14 : x
  2. Step 2: Convert to fraction form
    17,856.59/24,640.43 = 9,898.14/x
  3. Step 3: Cross multiply
    17,856.59x = 24,640.43 × 9,898.14
  4. Step 4: Simplify right side
    17,856.59x = 243,894,327.34
  5. Step 5: Solve for x
    x = 243,894,327.34/17,856.59
  6. Step 6: Final answer
    x = 13,658.51

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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.