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Finding the Fourth Proportional to 23,123.68, 34,657.20 and 9,948.16

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Solution

The fourth proportional to 23,123.68, 34,657.20 and 9,948.16 is: 14,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.68 : 34,657.20 = 9,948.16 : x
  2. Step 2: Convert to fraction form
    23,123.68/34,657.20 = 9,948.16/x
  3. Step 3: Cross multiply
    23,123.68x = 34,657.20 × 9,948.16
  4. Step 4: Simplify right side
    23,123.68x = 344,775,370.75
  5. Step 5: Solve for x
    x = 344,775,370.75/23,123.68
  6. Step 6: Final answer
    x = 14,910.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.