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Finding the Fourth Proportional to 23,294.89, 34,947.78 and 7,712.50

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Solution

The fourth proportional to 23,294.89, 34,947.78 and 7,712.50 is: 11,570.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.89 : 34,947.78 = 7,712.50 : x
  2. Step 2: Convert to fraction form
    23,294.89/34,947.78 = 7,712.50/x
  3. Step 3: Cross multiply
    23,294.89x = 34,947.78 × 7,712.50
  4. Step 4: Simplify right side
    23,294.89x = 269,534,753.25
  5. Step 5: Solve for x
    x = 269,534,753.25/23,294.89
  6. Step 6: Final answer
    x = 11,570.55

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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.