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Finding the Fourth Proportional to 22,592.25, 31,177.31 and 12,656.25

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Solution

The fourth proportional to 22,592.25, 31,177.31 and 12,656.25 is: 17,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,592.25 : 31,177.31 = 12,656.25 : x
  2. Step 2: Convert to fraction form
    22,592.25/31,177.31 = 12,656.25/x
  3. Step 3: Cross multiply
    22,592.25x = 31,177.31 × 12,656.25
  4. Step 4: Simplify right side
    22,592.25x = 394,587,766.41
  5. Step 5: Solve for x
    x = 394,587,766.41/22,592.25
  6. Step 6: Final answer
    x = 17,465.63

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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.