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Finding the Fourth Proportional to 15,520.40, 23,266.08 and 5,657.20

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Solution

The fourth proportional to 15,520.40, 23,266.08 and 5,657.20 is: 8,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520.40 : 23,266.08 = 5,657.20 : x
  2. Step 2: Convert to fraction form
    15,520.40/23,266.08 = 5,657.20/x
  3. Step 3: Cross multiply
    15,520.40x = 23,266.08 × 5,657.20
  4. Step 4: Simplify right side
    15,520.40x = 131,620,867.78
  5. Step 5: Solve for x
    x = 131,620,867.78/15,520.40
  6. Step 6: Final answer
    x = 8,480.51

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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.