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Finding the Fourth Proportional to 22,654.50, 31,263.24 and 12,718.50

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Solution

The fourth proportional to 22,654.50, 31,263.24 and 12,718.50 is: 17,551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.50 : 31,263.24 = 12,718.50 : x
  2. Step 2: Convert to fraction form
    22,654.50/31,263.24 = 12,718.50/x
  3. Step 3: Cross multiply
    22,654.50x = 31,263.24 × 12,718.50
  4. Step 4: Simplify right side
    22,654.50x = 397,621,517.94
  5. Step 5: Solve for x
    x = 397,621,517.94/22,654.50
  6. Step 6: Final answer
    x = 17,551.55

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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.