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Finding the Fourth Proportional to 14,512.88, 20,025 and 10,029.68

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Solution

The fourth proportional to 14,512.88, 20,025 and 10,029.68 is: 13,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.88 : 20,025 = 10,029.68 : x
  2. Step 2: Convert to fraction form
    14,512.88/20,025 = 10,029.68/x
  3. Step 3: Cross multiply
    14,512.88x = 20,025 × 10,029.68
  4. Step 4: Simplify right side
    14,512.88x = 200,844,342
  5. Step 5: Solve for x
    x = 200,844,342/14,512.88
  6. Step 6: Final answer
    x = 13,839.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.