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Finding the Fourth Proportional to 13,672.14, 20,510.64 and 10,425.66

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Solution

The fourth proportional to 13,672.14, 20,510.64 and 10,425.66 is: 15,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.14 : 20,510.64 = 10,425.66 : x
  2. Step 2: Convert to fraction form
    13,672.14/20,510.64 = 10,425.66/x
  3. Step 3: Cross multiply
    13,672.14x = 20,510.64 × 10,425.66
  4. Step 4: Simplify right side
    13,672.14x = 213,836,959.02
  5. Step 5: Solve for x
    x = 213,836,959.02/13,672.14
  6. Step 6: Final answer
    x = 15,640.34

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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.