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Finding the Fourth Proportional to 23,270, 34,883.36 and 8,475.56

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Solution

The fourth proportional to 23,270, 34,883.36 and 8,475.56 is: 12,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,270 : 34,883.36 = 8,475.56 : x
  2. Step 2: Convert to fraction form
    23,270/34,883.36 = 8,475.56/x
  3. Step 3: Cross multiply
    23,270x = 34,883.36 × 8,475.56
  4. Step 4: Simplify right side
    23,270x = 295,656,010.68
  5. Step 5: Solve for x
    x = 295,656,010.68/23,270
  6. Step 6: Final answer
    x = 12,705.46

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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.