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Finding the Fourth Proportional to 13,759.31, 18,988.09 and 7,471.69

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Solution

The fourth proportional to 13,759.31, 18,988.09 and 7,471.69 is: 10,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.31 : 18,988.09 = 7,471.69 : x
  2. Step 2: Convert to fraction form
    13,759.31/18,988.09 = 7,471.69/x
  3. Step 3: Cross multiply
    13,759.31x = 18,988.09 × 7,471.69
  4. Step 4: Simplify right side
    13,759.31x = 141,873,056.02
  5. Step 5: Solve for x
    x = 141,873,056.02/13,759.31
  6. Step 6: Final answer
    x = 10,311.06

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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.