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Finding the Fourth Proportional to 23,769.92, 35,624 and 9,713.52

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Solution

The fourth proportional to 23,769.92, 35,624 and 9,713.52 is: 14,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.92 : 35,624 = 9,713.52 : x
  2. Step 2: Convert to fraction form
    23,769.92/35,624 = 9,713.52/x
  3. Step 3: Cross multiply
    23,769.92x = 35,624 × 9,713.52
  4. Step 4: Simplify right side
    23,769.92x = 346,034,436.48
  5. Step 5: Solve for x
    x = 346,034,436.48/23,769.92
  6. Step 6: Final answer
    x = 14,557.66

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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.