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Finding the Fourth Proportional to 12,187.31, 16,818.80 and 7,474.19

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Solution

The fourth proportional to 12,187.31, 16,818.80 and 7,474.19 is: 10,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.31 : 16,818.80 = 7,474.19 : x
  2. Step 2: Convert to fraction form
    12,187.31/16,818.80 = 7,474.19/x
  3. Step 3: Cross multiply
    12,187.31x = 16,818.80 × 7,474.19
  4. Step 4: Simplify right side
    12,187.31x = 125,706,869.40
  5. Step 5: Solve for x
    x = 125,706,869.40/12,187.31
  6. Step 6: Final answer
    x = 10,314.57

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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.