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Finding the Fourth Proportional to 25,726.80, 38,568.60 and 13,414.80

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Solution

The fourth proportional to 25,726.80, 38,568.60 and 13,414.80 is: 20,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,726.80 : 38,568.60 = 13,414.80 : x
  2. Step 2: Convert to fraction form
    25,726.80/38,568.60 = 13,414.80/x
  3. Step 3: Cross multiply
    25,726.80x = 38,568.60 × 13,414.80
  4. Step 4: Simplify right side
    25,726.80x = 517,390,055.28
  5. Step 5: Solve for x
    x = 517,390,055.28/25,726.80
  6. Step 6: Final answer
    x = 20,110.94

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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.