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Finding the Fourth Proportional to 12,114.96, 18,164.70 and 5,787.24

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Solution

The fourth proportional to 12,114.96, 18,164.70 and 5,787.24 is: 8,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.96 : 18,164.70 = 5,787.24 : x
  2. Step 2: Convert to fraction form
    12,114.96/18,164.70 = 5,787.24/x
  3. Step 3: Cross multiply
    12,114.96x = 18,164.70 × 5,787.24
  4. Step 4: Simplify right side
    12,114.96x = 105,123,478.43
  5. Step 5: Solve for x
    x = 105,123,478.43/12,114.96
  6. Step 6: Final answer
    x = 8,677.16

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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.