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Finding the Fourth Proportional to 15,129.90, 20,878.97 and 8,415.39

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Solution

The fourth proportional to 15,129.90, 20,878.97 and 8,415.39 is: 11,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.90 : 20,878.97 = 8,415.39 : x
  2. Step 2: Convert to fraction form
    15,129.90/20,878.97 = 8,415.39/x
  3. Step 3: Cross multiply
    15,129.90x = 20,878.97 × 8,415.39
  4. Step 4: Simplify right side
    15,129.90x = 175,704,554.98
  5. Step 5: Solve for x
    x = 175,704,554.98/15,129.90
  6. Step 6: Final answer
    x = 11,613.06

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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.