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Finding the Fourth Proportional to 16,052.69, 24,057.17 and 7,732.10

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Solution

The fourth proportional to 16,052.69, 24,057.17 and 7,732.10 is: 11,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,052.69 : 24,057.17 = 7,732.10 : x
  2. Step 2: Convert to fraction form
    16,052.69/24,057.17 = 7,732.10/x
  3. Step 3: Cross multiply
    16,052.69x = 24,057.17 × 7,732.10
  4. Step 4: Simplify right side
    16,052.69x = 186,012,405.50
  5. Step 5: Solve for x
    x = 186,012,405.50/16,052.69
  6. Step 6: Final answer
    x = 11,587.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.