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Finding the Fourth Proportional to 24,265.20, 36,397.72 and 6,735

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Solution

The fourth proportional to 24,265.20, 36,397.72 and 6,735 is: 10,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,265.20 : 36,397.72 = 6,735 : x
  2. Step 2: Convert to fraction form
    24,265.20/36,397.72 = 6,735/x
  3. Step 3: Cross multiply
    24,265.20x = 36,397.72 × 6,735
  4. Step 4: Simplify right side
    24,265.20x = 245,138,644.20
  5. Step 5: Solve for x
    x = 245,138,644.20/24,265.20
  6. Step 6: Final answer
    x = 10,102.48

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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.