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Finding the Fourth Proportional to 24,374.32, 36,561.60 and 8,780.80

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Solution

The fourth proportional to 24,374.32, 36,561.60 and 8,780.80 is: 13,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374.32 : 36,561.60 = 8,780.80 : x
  2. Step 2: Convert to fraction form
    24,374.32/36,561.60 = 8,780.80/x
  3. Step 3: Cross multiply
    24,374.32x = 36,561.60 × 8,780.80
  4. Step 4: Simplify right side
    24,374.32x = 321,040,097.28
  5. Step 5: Solve for x
    x = 321,040,097.28/24,374.32
  6. Step 6: Final answer
    x = 13,171.24

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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.