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Finding the Fourth Proportional to 21,565.54, 32,329.07 and 8,414.85

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Solution

The fourth proportional to 21,565.54, 32,329.07 and 8,414.85 is: 12,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.54 : 32,329.07 = 8,414.85 : x
  2. Step 2: Convert to fraction form
    21,565.54/32,329.07 = 8,414.85/x
  3. Step 3: Cross multiply
    21,565.54x = 32,329.07 × 8,414.85
  4. Step 4: Simplify right side
    21,565.54x = 272,044,264.17
  5. Step 5: Solve for x
    x = 272,044,264.17/21,565.54
  6. Step 6: Final answer
    x = 12,614.77

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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.