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Finding the Fourth Proportional to 18,542.90, 25,588.77 and 10,159.22

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Solution

The fourth proportional to 18,542.90, 25,588.77 and 10,159.22 is: 14,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,542.90 : 25,588.77 = 10,159.22 : x
  2. Step 2: Convert to fraction form
    18,542.90/25,588.77 = 10,159.22/x
  3. Step 3: Cross multiply
    18,542.90x = 25,588.77 × 10,159.22
  4. Step 4: Simplify right side
    18,542.90x = 259,961,943.96
  5. Step 5: Solve for x
    x = 259,961,943.96/18,542.90
  6. Step 6: Final answer
    x = 14,019.49

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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.