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Finding the Fourth Proportional to 23,516.92, 32,454.30 and 13,447

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Solution

The fourth proportional to 23,516.92, 32,454.30 and 13,447 is: 18,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,516.92 : 32,454.30 = 13,447 : x
  2. Step 2: Convert to fraction form
    23,516.92/32,454.30 = 13,447/x
  3. Step 3: Cross multiply
    23,516.92x = 32,454.30 × 13,447
  4. Step 4: Simplify right side
    23,516.92x = 436,412,972.10
  5. Step 5: Solve for x
    x = 436,412,972.10/23,516.92
  6. Step 6: Final answer
    x = 18,557.40

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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.