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Finding the Fourth Proportional to 16,306.56, 24,451.20 and 7,061.76

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Solution

The fourth proportional to 16,306.56, 24,451.20 and 7,061.76 is: 10,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.56 : 24,451.20 = 7,061.76 : x
  2. Step 2: Convert to fraction form
    16,306.56/24,451.20 = 7,061.76/x
  3. Step 3: Cross multiply
    16,306.56x = 24,451.20 × 7,061.76
  4. Step 4: Simplify right side
    16,306.56x = 172,668,506.11
  5. Step 5: Solve for x
    x = 172,668,506.11/16,306.56
  6. Step 6: Final answer
    x = 10,588.90

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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.