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Finding the Fourth Proportional to 24,565.48, 36,847.31 and 7,924.23

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Solution

The fourth proportional to 24,565.48, 36,847.31 and 7,924.23 is: 11,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,565.48 : 36,847.31 = 7,924.23 : x
  2. Step 2: Convert to fraction form
    24,565.48/36,847.31 = 7,924.23/x
  3. Step 3: Cross multiply
    24,565.48x = 36,847.31 × 7,924.23
  4. Step 4: Simplify right side
    24,565.48x = 291,986,519.70
  5. Step 5: Solve for x
    x = 291,986,519.70/24,565.48
  6. Step 6: Final answer
    x = 11,886.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.