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Finding the Fourth Proportional to 22,891.98, 31,591.71 and 13,461.42

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Solution

The fourth proportional to 22,891.98, 31,591.71 and 13,461.42 is: 18,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,891.98 : 31,591.71 = 13,461.42 : x
  2. Step 2: Convert to fraction form
    22,891.98/31,591.71 = 13,461.42/x
  3. Step 3: Cross multiply
    22,891.98x = 31,591.71 × 13,461.42
  4. Step 4: Simplify right side
    22,891.98x = 425,269,276.83
  5. Step 5: Solve for x
    x = 425,269,276.83/22,891.98
  6. Step 6: Final answer
    x = 18,577.22

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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.