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Finding the Fourth Proportional to 12,081.80, 16,685.56 and 8,314.70

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Solution

The fourth proportional to 12,081.80, 16,685.56 and 8,314.70 is: 11,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.80 : 16,685.56 = 8,314.70 : x
  2. Step 2: Convert to fraction form
    12,081.80/16,685.56 = 8,314.70/x
  3. Step 3: Cross multiply
    12,081.80x = 16,685.56 × 8,314.70
  4. Step 4: Simplify right side
    12,081.80x = 138,735,352.70
  5. Step 5: Solve for x
    x = 138,735,352.70/12,081.80
  6. Step 6: Final answer
    x = 11,483.00

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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.