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Finding the Fourth Proportional to 24,282.40, 36,432.24 and 20,394.40

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Solution

The fourth proportional to 24,282.40, 36,432.24 and 20,394.40 is: 30,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.40 : 36,432.24 = 20,394.40 : x
  2. Step 2: Convert to fraction form
    24,282.40/36,432.24 = 20,394.40/x
  3. Step 3: Cross multiply
    24,282.40x = 36,432.24 × 20,394.40
  4. Step 4: Simplify right side
    24,282.40x = 743,013,675.46
  5. Step 5: Solve for x
    x = 743,013,675.46/24,282.40
  6. Step 6: Final answer
    x = 30,598.86

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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.