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Finding the Fourth Proportional to 14,512.56, 21,759.84 and 6,711.36

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Solution

The fourth proportional to 14,512.56, 21,759.84 and 6,711.36 is: 10,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.56 : 21,759.84 = 6,711.36 : x
  2. Step 2: Convert to fraction form
    14,512.56/21,759.84 = 6,711.36/x
  3. Step 3: Cross multiply
    14,512.56x = 21,759.84 × 6,711.36
  4. Step 4: Simplify right side
    14,512.56x = 146,038,119.78
  5. Step 5: Solve for x
    x = 146,038,119.78/14,512.56
  6. Step 6: Final answer
    x = 10,062.88

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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.