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Finding the Fourth Proportional to 23,294.85, 34,947.69 and 6,655.11

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Solution

The fourth proportional to 23,294.85, 34,947.69 and 6,655.11 is: 9,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.85 : 34,947.69 = 6,655.11 : x
  2. Step 2: Convert to fraction form
    23,294.85/34,947.69 = 6,655.11/x
  3. Step 3: Cross multiply
    23,294.85x = 34,947.69 × 6,655.11
  4. Step 4: Simplify right side
    23,294.85x = 232,580,721.20
  5. Step 5: Solve for x
    x = 232,580,721.20/23,294.85
  6. Step 6: Final answer
    x = 9,984.21

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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.