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Finding the Fourth Proportional to 23,294.50, 34,947.21 and 7,712.14

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Solution

The fourth proportional to 23,294.50, 34,947.21 and 7,712.14 is: 11,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.50 : 34,947.21 = 7,712.14 : x
  2. Step 2: Convert to fraction form
    23,294.50/34,947.21 = 7,712.14/x
  3. Step 3: Cross multiply
    23,294.50x = 34,947.21 × 7,712.14
  4. Step 4: Simplify right side
    23,294.50x = 269,517,776.13
  5. Step 5: Solve for x
    x = 269,517,776.13/23,294.50
  6. Step 6: Final answer
    x = 11,570.02

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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.