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Finding the Fourth Proportional to 17,123.60, 25,723.80 and 16,470.80

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Solution

The fourth proportional to 17,123.60, 25,723.80 and 16,470.80 is: 24,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.60 : 25,723.80 = 16,470.80 : x
  2. Step 2: Convert to fraction form
    17,123.60/25,723.80 = 16,470.80/x
  3. Step 3: Cross multiply
    17,123.60x = 25,723.80 × 16,470.80
  4. Step 4: Simplify right side
    17,123.60x = 423,691,565.04
  5. Step 5: Solve for x
    x = 423,691,565.04/17,123.60
  6. Step 6: Final answer
    x = 24,743.14

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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.