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Finding the Fourth Proportional to 15,175.66, 22,747.04 and 7,769.96

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Solution

The fourth proportional to 15,175.66, 22,747.04 and 7,769.96 is: 11,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.66 : 22,747.04 = 7,769.96 : x
  2. Step 2: Convert to fraction form
    15,175.66/22,747.04 = 7,769.96/x
  3. Step 3: Cross multiply
    15,175.66x = 22,747.04 × 7,769.96
  4. Step 4: Simplify right side
    15,175.66x = 176,743,590.92
  5. Step 5: Solve for x
    x = 176,743,590.92/15,175.66
  6. Step 6: Final answer
    x = 11,646.52

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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.