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Finding the Fourth Proportional to 24,909.92, 37,371.71 and 12,414.86

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Solution

The fourth proportional to 24,909.92, 37,371.71 and 12,414.86 is: 18,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,909.92 : 37,371.71 = 12,414.86 : x
  2. Step 2: Convert to fraction form
    24,909.92/37,371.71 = 12,414.86/x
  3. Step 3: Cross multiply
    24,909.92x = 37,371.71 × 12,414.86
  4. Step 4: Simplify right side
    24,909.92x = 463,964,547.61
  5. Step 5: Solve for x
    x = 463,964,547.61/24,909.92
  6. Step 6: Final answer
    x = 18,625.69

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1.5x scale

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.