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Finding the Fourth Proportional to 15,175.78, 22,748.08 and 5,813.26

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Solution

The fourth proportional to 15,175.78, 22,748.08 and 5,813.26 is: 8,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.78 : 22,748.08 = 5,813.26 : x
  2. Step 2: Convert to fraction form
    15,175.78/22,748.08 = 5,813.26/x
  3. Step 3: Cross multiply
    15,175.78x = 22,748.08 × 5,813.26
  4. Step 4: Simplify right side
    15,175.78x = 132,240,503.54
  5. Step 5: Solve for x
    x = 132,240,503.54/15,175.78
  6. Step 6: Final answer
    x = 8,713.92

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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.