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Finding the Fourth Proportional to 15,218.62, 22,824.01 and 5,855.88

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Solution

The fourth proportional to 15,218.62, 22,824.01 and 5,855.88 is: 8,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,218.62 : 22,824.01 = 5,855.88 : x
  2. Step 2: Convert to fraction form
    15,218.62/22,824.01 = 5,855.88/x
  3. Step 3: Cross multiply
    15,218.62x = 22,824.01 × 5,855.88
  4. Step 4: Simplify right side
    15,218.62x = 133,654,663.68
  5. Step 5: Solve for x
    x = 133,654,663.68/15,218.62
  6. Step 6: Final answer
    x = 8,782.31

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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.