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Finding the Fourth Proportional to 13,164.60, 18,169.19 and 8,386.61

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Solution

The fourth proportional to 13,164.60, 18,169.19 and 8,386.61 is: 11,574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.60 : 18,169.19 = 8,386.61 : x
  2. Step 2: Convert to fraction form
    13,164.60/18,169.19 = 8,386.61/x
  3. Step 3: Cross multiply
    13,164.60x = 18,169.19 × 8,386.61
  4. Step 4: Simplify right side
    13,164.60x = 152,377,938.93
  5. Step 5: Solve for x
    x = 152,377,938.93/13,164.60
  6. Step 6: Final answer
    x = 11,574.82

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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.