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Finding the Fourth Proportional to 22,744.87, 31,387.99 and 13,186.63

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Solution

The fourth proportional to 22,744.87, 31,387.99 and 13,186.63 is: 18,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.87 : 31,387.99 = 13,186.63 : x
  2. Step 2: Convert to fraction form
    22,744.87/31,387.99 = 13,186.63/x
  3. Step 3: Cross multiply
    22,744.87x = 31,387.99 × 13,186.63
  4. Step 4: Simplify right side
    22,744.87x = 413,901,841.57
  5. Step 5: Solve for x
    x = 413,901,841.57/22,744.87
  6. Step 6: Final answer
    x = 18,197.59

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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.