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Finding the Fourth Proportional to 16,288.60, 24,432.90 and 10,427.80

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Solution

The fourth proportional to 16,288.60, 24,432.90 and 10,427.80 is: 15,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.60 : 24,432.90 = 10,427.80 : x
  2. Step 2: Convert to fraction form
    16,288.60/24,432.90 = 10,427.80/x
  3. Step 3: Cross multiply
    16,288.60x = 24,432.90 × 10,427.80
  4. Step 4: Simplify right side
    16,288.60x = 254,781,394.62
  5. Step 5: Solve for x
    x = 254,781,394.62/16,288.60
  6. Step 6: Final answer
    x = 15,641.70

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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.