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Finding the Fourth Proportional to 22,680.57, 31,290.87 and 13,724.82

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Solution

The fourth proportional to 22,680.57, 31,290.87 and 13,724.82 is: 18,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,680.57 : 31,290.87 = 13,724.82 : x
  2. Step 2: Convert to fraction form
    22,680.57/31,290.87 = 13,724.82/x
  3. Step 3: Cross multiply
    22,680.57x = 31,290.87 × 13,724.82
  4. Step 4: Simplify right side
    22,680.57x = 429,461,558.39
  5. Step 5: Solve for x
    x = 429,461,558.39/22,680.57
  6. Step 6: Final answer
    x = 18,935.22

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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.