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Finding the Fourth Proportional to 14,083.68, 21,125.52 and 9,687.84

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Solution

The fourth proportional to 14,083.68, 21,125.52 and 9,687.84 is: 14,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.68 : 21,125.52 = 9,687.84 : x
  2. Step 2: Convert to fraction form
    14,083.68/21,125.52 = 9,687.84/x
  3. Step 3: Cross multiply
    14,083.68x = 21,125.52 × 9,687.84
  4. Step 4: Simplify right side
    14,083.68x = 204,660,657.68
  5. Step 5: Solve for x
    x = 204,660,657.68/14,083.68
  6. Step 6: Final answer
    x = 14,531.76

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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.