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Finding the Fourth Proportional to 23,474.10, 35,207.47 and 7,679

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Solution

The fourth proportional to 23,474.10, 35,207.47 and 7,679 is: 11,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.10 : 35,207.47 = 7,679 : x
  2. Step 2: Convert to fraction form
    23,474.10/35,207.47 = 7,679/x
  3. Step 3: Cross multiply
    23,474.10x = 35,207.47 × 7,679
  4. Step 4: Simplify right side
    23,474.10x = 270,358,162.13
  5. Step 5: Solve for x
    x = 270,358,162.13/23,474.10
  6. Step 6: Final answer
    x = 11,517.30

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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.