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Finding the Fourth Proportional to 16,316.92, 24,461.25 and 9,729.27

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Solution

The fourth proportional to 16,316.92, 24,461.25 and 9,729.27 is: 14,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.92 : 24,461.25 = 9,729.27 : x
  2. Step 2: Convert to fraction form
    16,316.92/24,461.25 = 9,729.27/x
  3. Step 3: Cross multiply
    16,316.92x = 24,461.25 × 9,729.27
  4. Step 4: Simplify right side
    16,316.92x = 237,990,105.79
  5. Step 5: Solve for x
    x = 237,990,105.79/16,316.92
  6. Step 6: Final answer
    x = 14,585.48

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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.