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Finding the Fourth Proportional to 23,109.69, 31,891.55 and 13,549.82

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Solution

The fourth proportional to 23,109.69, 31,891.55 and 13,549.82 is: 18,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.69 : 31,891.55 = 13,549.82 : x
  2. Step 2: Convert to fraction form
    23,109.69/31,891.55 = 13,549.82/x
  3. Step 3: Cross multiply
    23,109.69x = 31,891.55 × 13,549.82
  4. Step 4: Simplify right side
    23,109.69x = 432,124,694.27
  5. Step 5: Solve for x
    x = 432,124,694.27/23,109.69
  6. Step 6: Final answer
    x = 18,698.85

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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.