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Finding the Fourth Proportional to 12,245.40, 16,897.50 and 8,472.60

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Solution

The fourth proportional to 12,245.40, 16,897.50 and 8,472.60 is: 11,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.40 : 16,897.50 = 8,472.60 : x
  2. Step 2: Convert to fraction form
    12,245.40/16,897.50 = 8,472.60/x
  3. Step 3: Cross multiply
    12,245.40x = 16,897.50 × 8,472.60
  4. Step 4: Simplify right side
    12,245.40x = 143,165,758.50
  5. Step 5: Solve for x
    x = 143,165,758.50/12,245.40
  6. Step 6: Final answer
    x = 11,691.39

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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.