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Finding the Fourth Proportional to 22,654.20, 31,261.71 and 12,583.29

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Solution

The fourth proportional to 22,654.20, 31,261.71 and 12,583.29 is: 17,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.20 : 31,261.71 = 12,583.29 : x
  2. Step 2: Convert to fraction form
    22,654.20/31,261.71 = 12,583.29/x
  3. Step 3: Cross multiply
    22,654.20x = 31,261.71 × 12,583.29
  4. Step 4: Simplify right side
    22,654.20x = 393,375,162.83
  5. Step 5: Solve for x
    x = 393,375,162.83/22,654.20
  6. Step 6: Final answer
    x = 17,364.34

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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.