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Finding the Fourth Proportional to 22,843.52, 31,526.96 and 12,772.56

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Solution

The fourth proportional to 22,843.52, 31,526.96 and 12,772.56 is: 17,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.52 : 31,526.96 = 12,772.56 : x
  2. Step 2: Convert to fraction form
    22,843.52/31,526.96 = 12,772.56/x
  3. Step 3: Cross multiply
    22,843.52x = 31,526.96 × 12,772.56
  4. Step 4: Simplify right side
    22,843.52x = 402,679,988.22
  5. Step 5: Solve for x
    x = 402,679,988.22/22,843.52
  6. Step 6: Final answer
    x = 17,627.76

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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.