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Finding the Fourth Proportional to 22,963.68, 31,706.40 and 15,877.80

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Solution

The fourth proportional to 22,963.68, 31,706.40 and 15,877.80 is: 21,922.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,963.68 : 31,706.40 = 15,877.80 : x
  2. Step 2: Convert to fraction form
    22,963.68/31,706.40 = 15,877.80/x
  3. Step 3: Cross multiply
    22,963.68x = 31,706.40 × 15,877.80
  4. Step 4: Simplify right side
    22,963.68x = 503,427,877.92
  5. Step 5: Solve for x
    x = 503,427,877.92/22,963.68
  6. Step 6: Final answer
    x = 21,922.79

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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.