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Finding the Fourth Proportional to 12,382.68, 18,588.90 and 9,787.80

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Solution

The fourth proportional to 12,382.68, 18,588.90 and 9,787.80 is: 14,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.68 : 18,588.90 = 9,787.80 : x
  2. Step 2: Convert to fraction form
    12,382.68/18,588.90 = 9,787.80/x
  3. Step 3: Cross multiply
    12,382.68x = 18,588.90 × 9,787.80
  4. Step 4: Simplify right side
    12,382.68x = 181,944,435.42
  5. Step 5: Solve for x
    x = 181,944,435.42/12,382.68
  6. Step 6: Final answer
    x = 14,693.46

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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.