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Finding the Fourth Proportional to 13,587.24, 18,747.54 and 8,878.44

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Solution

The fourth proportional to 13,587.24, 18,747.54 and 8,878.44 is: 12,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.24 : 18,747.54 = 8,878.44 : x
  2. Step 2: Convert to fraction form
    13,587.24/18,747.54 = 8,878.44/x
  3. Step 3: Cross multiply
    13,587.24x = 18,747.54 × 8,878.44
  4. Step 4: Simplify right side
    13,587.24x = 166,448,909.04
  5. Step 5: Solve for x
    x = 166,448,909.04/13,587.24
  6. Step 6: Final answer
    x = 12,250.38

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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.