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Finding the Fourth Proportional to 24,139.90, 36,197.70 and 14,282.20

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Solution

The fourth proportional to 24,139.90, 36,197.70 and 14,282.20 is: 21,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,139.90 : 36,197.70 = 14,282.20 : x
  2. Step 2: Convert to fraction form
    24,139.90/36,197.70 = 14,282.20/x
  3. Step 3: Cross multiply
    24,139.90x = 36,197.70 × 14,282.20
  4. Step 4: Simplify right side
    24,139.90x = 516,982,790.94
  5. Step 5: Solve for x
    x = 516,982,790.94/24,139.90
  6. Step 6: Final answer
    x = 21,416.11

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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.