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Finding the Fourth Proportional to 16,432.92, 24,642.10 and 10,192.68

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Solution

The fourth proportional to 16,432.92, 24,642.10 and 10,192.68 is: 15,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.92 : 24,642.10 = 10,192.68 : x
  2. Step 2: Convert to fraction form
    16,432.92/24,642.10 = 10,192.68/x
  3. Step 3: Cross multiply
    16,432.92x = 24,642.10 × 10,192.68
  4. Step 4: Simplify right side
    16,432.92x = 251,169,039.83
  5. Step 5: Solve for x
    x = 251,169,039.83/16,432.92
  6. Step 6: Final answer
    x = 15,284.50

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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.