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Finding the Fourth Proportional to 17,922.17, 24,732.89 and 9,856.15

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Solution

The fourth proportional to 17,922.17, 24,732.89 and 9,856.15 is: 13,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.17 : 24,732.89 = 9,856.15 : x
  2. Step 2: Convert to fraction form
    17,922.17/24,732.89 = 9,856.15/x
  3. Step 3: Cross multiply
    17,922.17x = 24,732.89 × 9,856.15
  4. Step 4: Simplify right side
    17,922.17x = 243,771,073.77
  5. Step 5: Solve for x
    x = 243,771,073.77/17,922.17
  6. Step 6: Final answer
    x = 13,601.65

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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.