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Finding the Fourth Proportional to 24,589.24, 36,875.49 and 9,794.14

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Solution

The fourth proportional to 24,589.24, 36,875.49 and 9,794.14 is: 14,687.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.24 : 36,875.49 = 9,794.14 : x
  2. Step 2: Convert to fraction form
    24,589.24/36,875.49 = 9,794.14/x
  3. Step 3: Cross multiply
    24,589.24x = 36,875.49 × 9,794.14
  4. Step 4: Simplify right side
    24,589.24x = 361,163,711.63
  5. Step 5: Solve for x
    x = 361,163,711.63/24,589.24
  6. Step 6: Final answer
    x = 14,687.88

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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.