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Finding the Fourth Proportional to 16,306.10, 24,457.92 and 5,213.96

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Solution

The fourth proportional to 16,306.10, 24,457.92 and 5,213.96 is: 7,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.10 : 24,457.92 = 5,213.96 : x
  2. Step 2: Convert to fraction form
    16,306.10/24,457.92 = 5,213.96/x
  3. Step 3: Cross multiply
    16,306.10x = 24,457.92 × 5,213.96
  4. Step 4: Simplify right side
    16,306.10x = 127,522,616.56
  5. Step 5: Solve for x
    x = 127,522,616.56/16,306.10
  6. Step 6: Final answer
    x = 7,820.55

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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.