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Finding the Fourth Proportional to 24,176.80, 36,265.20 and 20,288.80

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Solution

The fourth proportional to 24,176.80, 36,265.20 and 20,288.80 is: 30,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.80 : 36,265.20 = 20,288.80 : x
  2. Step 2: Convert to fraction form
    24,176.80/36,265.20 = 20,288.80/x
  3. Step 3: Cross multiply
    24,176.80x = 36,265.20 × 20,288.80
  4. Step 4: Simplify right side
    24,176.80x = 735,777,389.76
  5. Step 5: Solve for x
    x = 735,777,389.76/24,176.80
  6. Step 6: Final answer
    x = 30,433.20

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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.