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Finding the Fourth Proportional to 18,726.28, 25,841.10 and 10,342.78

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Solution

The fourth proportional to 18,726.28, 25,841.10 and 10,342.78 is: 14,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,726.28 : 25,841.10 = 10,342.78 : x
  2. Step 2: Convert to fraction form
    18,726.28/25,841.10 = 10,342.78/x
  3. Step 3: Cross multiply
    18,726.28x = 25,841.10 × 10,342.78
  4. Step 4: Simplify right side
    18,726.28x = 267,268,812.26
  5. Step 5: Solve for x
    x = 267,268,812.26/18,726.28
  6. Step 6: Final answer
    x = 14,272.39

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Why These Related Problems?

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