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Finding the Fourth Proportional to 24,113.97, 36,126 and 14,223.87

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Solution

The fourth proportional to 24,113.97, 36,126 and 14,223.87 is: 21,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113.97 : 36,126 = 14,223.87 : x
  2. Step 2: Convert to fraction form
    24,113.97/36,126 = 14,223.87/x
  3. Step 3: Cross multiply
    24,113.97x = 36,126 × 14,223.87
  4. Step 4: Simplify right side
    24,113.97x = 513,851,527.62
  5. Step 5: Solve for x
    x = 513,851,527.62/24,113.97
  6. Step 6: Final answer
    x = 21,309.29

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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.