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Finding the Fourth Proportional to 24,182.40, 36,276.30 and 7,542.30

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Solution

The fourth proportional to 24,182.40, 36,276.30 and 7,542.30 is: 11,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.40 : 36,276.30 = 7,542.30 : x
  2. Step 2: Convert to fraction form
    24,182.40/36,276.30 = 7,542.30/x
  3. Step 3: Cross multiply
    24,182.40x = 36,276.30 × 7,542.30
  4. Step 4: Simplify right side
    24,182.40x = 273,606,737.49
  5. Step 5: Solve for x
    x = 273,606,737.49/24,182.40
  6. Step 6: Final answer
    x = 11,314.29

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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.