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Finding the Fourth Proportional to 23,179.65, 34,765.02 and 9,135.87

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Solution

The fourth proportional to 23,179.65, 34,765.02 and 9,135.87 is: 13,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.65 : 34,765.02 = 9,135.87 : x
  2. Step 2: Convert to fraction form
    23,179.65/34,765.02 = 9,135.87/x
  3. Step 3: Cross multiply
    23,179.65x = 34,765.02 × 9,135.87
  4. Step 4: Simplify right side
    23,179.65x = 317,608,703.27
  5. Step 5: Solve for x
    x = 317,608,703.27/23,179.65
  6. Step 6: Final answer
    x = 13,702.05

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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.