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Finding the Fourth Proportional to 12,114.81, 18,169.16 and 8,594.55

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Solution

The fourth proportional to 12,114.81, 18,169.16 and 8,594.55 is: 12,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.81 : 18,169.16 = 8,594.55 : x
  2. Step 2: Convert to fraction form
    12,114.81/18,169.16 = 8,594.55/x
  3. Step 3: Cross multiply
    12,114.81x = 18,169.16 × 8,594.55
  4. Step 4: Simplify right side
    12,114.81x = 156,155,711.11
  5. Step 5: Solve for x
    x = 156,155,711.11/12,114.81
  6. Step 6: Final answer
    x = 12,889.65

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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.