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Finding the Fourth Proportional to 15,952.95, 23,930.01 and 8,152.65

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Solution

The fourth proportional to 15,952.95, 23,930.01 and 8,152.65 is: 12,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.95 : 23,930.01 = 8,152.65 : x
  2. Step 2: Convert to fraction form
    15,952.95/23,930.01 = 8,152.65/x
  3. Step 3: Cross multiply
    15,952.95x = 23,930.01 × 8,152.65
  4. Step 4: Simplify right side
    15,952.95x = 195,092,996.03
  5. Step 5: Solve for x
    x = 195,092,996.03/15,952.95
  6. Step 6: Final answer
    x = 12,229.27

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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.