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Finding the Fourth Proportional to 12,165.75, 16,780.35 and 7,452.36

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Solution

The fourth proportional to 12,165.75, 16,780.35 and 7,452.36 is: 10,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.75 : 16,780.35 = 7,452.36 : x
  2. Step 2: Convert to fraction form
    12,165.75/16,780.35 = 7,452.36/x
  3. Step 3: Cross multiply
    12,165.75x = 16,780.35 × 7,452.36
  4. Step 4: Simplify right side
    12,165.75x = 125,053,209.13
  5. Step 5: Solve for x
    x = 125,053,209.13/12,165.75
  6. Step 6: Final answer
    x = 10,279.12

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