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Finding the Fourth Proportional to 24,022.32, 36,030.90 and 6,493.92

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Solution

The fourth proportional to 24,022.32, 36,030.90 and 6,493.92 is: 9,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.32 : 36,030.90 = 6,493.92 : x
  2. Step 2: Convert to fraction form
    24,022.32/36,030.90 = 6,493.92/x
  3. Step 3: Cross multiply
    24,022.32x = 36,030.90 × 6,493.92
  4. Step 4: Simplify right side
    24,022.32x = 233,981,782.13
  5. Step 5: Solve for x
    x = 233,981,782.13/24,022.32
  6. Step 6: Final answer
    x = 9,740.18

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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.