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Finding the Fourth Proportional to 24,426.80, 36,640.20 and 15,678.80

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Solution

The fourth proportional to 24,426.80, 36,640.20 and 15,678.80 is: 23,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426.80 : 36,640.20 = 15,678.80 : x
  2. Step 2: Convert to fraction form
    24,426.80/36,640.20 = 15,678.80/x
  3. Step 3: Cross multiply
    24,426.80x = 36,640.20 × 15,678.80
  4. Step 4: Simplify right side
    24,426.80x = 574,474,367.76
  5. Step 5: Solve for x
    x = 574,474,367.76/24,426.80
  6. Step 6: Final answer
    x = 23,518.20

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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.