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Finding the Fourth Proportional to 15,202.56, 22,805.06 and 5,344.05

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Solution

The fourth proportional to 15,202.56, 22,805.06 and 5,344.05 is: 8,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.56 : 22,805.06 = 5,344.05 : x
  2. Step 2: Convert to fraction form
    15,202.56/22,805.06 = 5,344.05/x
  3. Step 3: Cross multiply
    15,202.56x = 22,805.06 × 5,344.05
  4. Step 4: Simplify right side
    15,202.56x = 121,871,439.69
  5. Step 5: Solve for x
    x = 121,871,439.69/15,202.56
  6. Step 6: Final answer
    x = 8,016.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.