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Finding the Fourth Proportional to 12,261.85, 16,926.50 and 8,288.35

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Solution

The fourth proportional to 12,261.85, 16,926.50 and 8,288.35 is: 11,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.85 : 16,926.50 = 8,288.35 : x
  2. Step 2: Convert to fraction form
    12,261.85/16,926.50 = 8,288.35/x
  3. Step 3: Cross multiply
    12,261.85x = 16,926.50 × 8,288.35
  4. Step 4: Simplify right side
    12,261.85x = 140,292,630.20
  5. Step 5: Solve for x
    x = 140,292,630.20/12,261.85
  6. Step 6: Final answer
    x = 11,441.39

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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.