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Finding the Fourth Proportional to 18,642.64, 25,726.95 and 10,144.83

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Solution

The fourth proportional to 18,642.64, 25,726.95 and 10,144.83 is: 13,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.64 : 25,726.95 = 10,144.83 : x
  2. Step 2: Convert to fraction form
    18,642.64/25,726.95 = 10,144.83/x
  3. Step 3: Cross multiply
    18,642.64x = 25,726.95 × 10,144.83
  4. Step 4: Simplify right side
    18,642.64x = 260,995,534.17
  5. Step 5: Solve for x
    x = 260,995,534.17/18,642.64
  6. Step 6: Final answer
    x = 13,999.92

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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.