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Finding the Fourth Proportional to 23,294.48, 34,947.48 and 7,713.68

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Solution

The fourth proportional to 23,294.48, 34,947.48 and 7,713.68 is: 11,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.48 : 34,947.48 = 7,713.68 : x
  2. Step 2: Convert to fraction form
    23,294.48/34,947.48 = 7,713.68/x
  3. Step 3: Cross multiply
    23,294.48x = 34,947.48 × 7,713.68
  4. Step 4: Simplify right side
    23,294.48x = 269,573,677.53
  5. Step 5: Solve for x
    x = 269,573,677.53/23,294.48
  6. Step 6: Final answer
    x = 11,572.43

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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.