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Finding the Fourth Proportional to 10,269.88, 15,406.98 and 3,349.24

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Solution

The fourth proportional to 10,269.88, 15,406.98 and 3,349.24 is: 5,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.88 : 15,406.98 = 3,349.24 : x
  2. Step 2: Convert to fraction form
    10,269.88/15,406.98 = 3,349.24/x
  3. Step 3: Cross multiply
    10,269.88x = 15,406.98 × 3,349.24
  4. Step 4: Simplify right side
    10,269.88x = 51,601,673.70
  5. Step 5: Solve for x
    x = 51,601,673.70/10,269.88
  6. Step 6: Final answer
    x = 5,024.56

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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.