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Finding the Fourth Proportional to 16,306.16, 24,459.24 and 8,513.15

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Solution

The fourth proportional to 16,306.16, 24,459.24 and 8,513.15 is: 12,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.16 : 24,459.24 = 8,513.15 : x
  2. Step 2: Convert to fraction form
    16,306.16/24,459.24 = 8,513.15/x
  3. Step 3: Cross multiply
    16,306.16x = 24,459.24 × 8,513.15
  4. Step 4: Simplify right side
    16,306.16x = 208,225,056.71
  5. Step 5: Solve for x
    x = 208,225,056.71/16,306.16
  6. Step 6: Final answer
    x = 12,769.72

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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.