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Finding the Fourth Proportional to 25,726.92, 35,502.18 and 14,549.16

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Solution

The fourth proportional to 25,726.92, 35,502.18 and 14,549.16 is: 20,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,726.92 : 35,502.18 = 14,549.16 : x
  2. Step 2: Convert to fraction form
    25,726.92/35,502.18 = 14,549.16/x
  3. Step 3: Cross multiply
    25,726.92x = 35,502.18 × 14,549.16
  4. Step 4: Simplify right side
    25,726.92x = 516,526,897.17
  5. Step 5: Solve for x
    x = 516,526,897.17/25,726.92
  6. Step 6: Final answer
    x = 20,077.29

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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.