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Finding the Fourth Proportional to 24,142.25, 36,223.36 and 13,035.87

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Solution

The fourth proportional to 24,142.25, 36,223.36 and 13,035.87 is: 19,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.25 : 36,223.36 = 13,035.87 : x
  2. Step 2: Convert to fraction form
    24,142.25/36,223.36 = 13,035.87/x
  3. Step 3: Cross multiply
    24,142.25x = 36,223.36 × 13,035.87
  4. Step 4: Simplify right side
    24,142.25x = 472,202,979.33
  5. Step 5: Solve for x
    x = 472,202,979.33/24,142.25
  6. Step 6: Final answer
    x = 19,559.19

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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.