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Finding the Fourth Proportional to 18,542.86, 25,588.95 and 10,159.34

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Solution

The fourth proportional to 18,542.86, 25,588.95 and 10,159.34 is: 14,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.86 : 25,588.95 = 10,159.34 : x
  2. Step 2: Convert to fraction form
    18,542.86/25,588.95 = 10,159.34/x
  3. Step 3: Cross multiply
    18,542.86x = 25,588.95 × 10,159.34
  4. Step 4: Simplify right side
    18,542.86x = 259,966,843.29
  5. Step 5: Solve for x
    x = 259,966,843.29/18,542.86
  6. Step 6: Final answer
    x = 14,019.78

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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.