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Finding the Fourth Proportional to 10,014.56, 15,022 and 3,442.40

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Solution

The fourth proportional to 10,014.56, 15,022 and 3,442.40 is: 5,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.56 : 15,022 = 3,442.40 : x
  2. Step 2: Convert to fraction form
    10,014.56/15,022 = 3,442.40/x
  3. Step 3: Cross multiply
    10,014.56x = 15,022 × 3,442.40
  4. Step 4: Simplify right side
    10,014.56x = 51,711,732.80
  5. Step 5: Solve for x
    x = 51,711,732.80/10,014.56
  6. Step 6: Final answer
    x = 5,163.65

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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.