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Finding the Fourth Proportional to 10,614.98, 15,921.99 and 2,823.80

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Solution

The fourth proportional to 10,614.98, 15,921.99 and 2,823.80 is: 4,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.98 : 15,921.99 = 2,823.80 : x
  2. Step 2: Convert to fraction form
    10,614.98/15,921.99 = 2,823.80/x
  3. Step 3: Cross multiply
    10,614.98x = 15,921.99 × 2,823.80
  4. Step 4: Simplify right side
    10,614.98x = 44,960,435.75
  5. Step 5: Solve for x
    x = 44,960,435.75/10,614.98
  6. Step 6: Final answer
    x = 4,235.56

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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.