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Finding the Fourth Proportional to 16,532.91, 24,781.95 and 7,760.61

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Solution

The fourth proportional to 16,532.91, 24,781.95 and 7,760.61 is: 11,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.91 : 24,781.95 = 7,760.61 : x
  2. Step 2: Convert to fraction form
    16,532.91/24,781.95 = 7,760.61/x
  3. Step 3: Cross multiply
    16,532.91x = 24,781.95 × 7,760.61
  4. Step 4: Simplify right side
    16,532.91x = 192,323,048.99
  5. Step 5: Solve for x
    x = 192,323,048.99/16,532.91
  6. Step 6: Final answer
    x = 11,632.74

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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.