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Finding the Fourth Proportional to 12,159.90, 16,780.10 and 8,180.37

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Solution

The fourth proportional to 12,159.90, 16,780.10 and 8,180.37 is: 11,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.90 : 16,780.10 = 8,180.37 : x
  2. Step 2: Convert to fraction form
    12,159.90/16,780.10 = 8,180.37/x
  3. Step 3: Cross multiply
    12,159.90x = 16,780.10 × 8,180.37
  4. Step 4: Simplify right side
    12,159.90x = 137,267,385.74
  5. Step 5: Solve for x
    x = 137,267,385.74/12,159.90
  6. Step 6: Final answer
    x = 11,288.53

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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.