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Finding the Fourth Proportional to 15,128.66, 20,878.04 and 8,414.57

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Solution

The fourth proportional to 15,128.66, 20,878.04 and 8,414.57 is: 11,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,128.66 : 20,878.04 = 8,414.57 : x
  2. Step 2: Convert to fraction form
    15,128.66/20,878.04 = 8,414.57/x
  3. Step 3: Cross multiply
    15,128.66x = 20,878.04 × 8,414.57
  4. Step 4: Simplify right side
    15,128.66x = 175,679,729.04
  5. Step 5: Solve for x
    x = 175,679,729.04/15,128.66
  6. Step 6: Final answer
    x = 11,612.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.