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Finding the Fourth Proportional to 15,187.59, 22,787.96 and 8,159.40

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Solution

The fourth proportional to 15,187.59, 22,787.96 and 8,159.40 is: 12,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,187.59 : 22,787.96 = 8,159.40 : x
  2. Step 2: Convert to fraction form
    15,187.59/22,787.96 = 8,159.40/x
  3. Step 3: Cross multiply
    15,187.59x = 22,787.96 × 8,159.40
  4. Step 4: Simplify right side
    15,187.59x = 185,936,040.03
  5. Step 5: Solve for x
    x = 185,936,040.03/15,187.59
  6. Step 6: Final answer
    x = 12,242.63

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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.