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Finding the Fourth Proportional to 16,506.72, 24,767.34 and 6,665.22

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Solution

The fourth proportional to 16,506.72, 24,767.34 and 6,665.22 is: 10,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.72 : 24,767.34 = 6,665.22 : x
  2. Step 2: Convert to fraction form
    16,506.72/24,767.34 = 6,665.22/x
  3. Step 3: Cross multiply
    16,506.72x = 24,767.34 × 6,665.22
  4. Step 4: Simplify right side
    16,506.72x = 165,079,769.91
  5. Step 5: Solve for x
    x = 165,079,769.91/16,506.72
  6. Step 6: Final answer
    x = 10,000.76

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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.