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Finding the Fourth Proportional to 23,230.97, 32,057.71 and 13,159.21

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Solution

The fourth proportional to 23,230.97, 32,057.71 and 13,159.21 is: 18,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.97 : 32,057.71 = 13,159.21 : x
  2. Step 2: Convert to fraction form
    23,230.97/32,057.71 = 13,159.21/x
  3. Step 3: Cross multiply
    23,230.97x = 32,057.71 × 13,159.21
  4. Step 4: Simplify right side
    23,230.97x = 421,854,249.26
  5. Step 5: Solve for x
    x = 421,854,249.26/23,230.97
  6. Step 6: Final answer
    x = 18,159.13

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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.