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Finding the Fourth Proportional to 23,172.88, 34,764.16 and 7,589.28

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Solution

The fourth proportional to 23,172.88, 34,764.16 and 7,589.28 is: 11,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.88 : 34,764.16 = 7,589.28 : x
  2. Step 2: Convert to fraction form
    23,172.88/34,764.16 = 7,589.28/x
  3. Step 3: Cross multiply
    23,172.88x = 34,764.16 × 7,589.28
  4. Step 4: Simplify right side
    23,172.88x = 263,834,944.20
  5. Step 5: Solve for x
    x = 263,834,944.20/23,172.88
  6. Step 6: Final answer
    x = 11,385.51

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1.5x scale

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.