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Finding the Fourth Proportional to 15,891.50, 23,836.20 and 6,529.08

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Solution

The fourth proportional to 15,891.50, 23,836.20 and 6,529.08 is: 9,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.50 : 23,836.20 = 6,529.08 : x
  2. Step 2: Convert to fraction form
    15,891.50/23,836.20 = 6,529.08/x
  3. Step 3: Cross multiply
    15,891.50x = 23,836.20 × 6,529.08
  4. Step 4: Simplify right side
    15,891.50x = 155,628,456.70
  5. Step 5: Solve for x
    x = 155,628,456.70/15,891.50
  6. Step 6: Final answer
    x = 9,793.19

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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.