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Finding the Fourth Proportional to 20,787.88, 31,164 and 14,194.48

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Solution

The fourth proportional to 20,787.88, 31,164 and 14,194.48 is: 21,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.88 : 31,164 = 14,194.48 : x
  2. Step 2: Convert to fraction form
    20,787.88/31,164 = 14,194.48/x
  3. Step 3: Cross multiply
    20,787.88x = 31,164 × 14,194.48
  4. Step 4: Simplify right side
    20,787.88x = 442,356,774.72
  5. Step 5: Solve for x
    x = 442,356,774.72/20,787.88
  6. Step 6: Final answer
    x = 21,279.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.