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Finding the Fourth Proportional to 24,265.42, 36,398.14 and 6,735.26

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Solution

The fourth proportional to 24,265.42, 36,398.14 and 6,735.26 is: 10,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,265.42 : 36,398.14 = 6,735.26 : x
  2. Step 2: Convert to fraction form
    24,265.42/36,398.14 = 6,735.26/x
  3. Step 3: Cross multiply
    24,265.42x = 36,398.14 × 6,735.26
  4. Step 4: Simplify right side
    24,265.42x = 245,151,010.57
  5. Step 5: Solve for x
    x = 245,151,010.57/24,265.42
  6. Step 6: Final answer
    x = 10,102.90

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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.