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Finding the Fourth Proportional to 12,159.86, 16,780.25 and 6,782.09

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Solution

The fourth proportional to 12,159.86, 16,780.25 and 6,782.09 is: 9,359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.86 : 16,780.25 = 6,782.09 : x
  2. Step 2: Convert to fraction form
    12,159.86/16,780.25 = 6,782.09/x
  3. Step 3: Cross multiply
    12,159.86x = 16,780.25 × 6,782.09
  4. Step 4: Simplify right side
    12,159.86x = 113,805,098.78
  5. Step 5: Solve for x
    x = 113,805,098.78/12,159.86
  6. Step 6: Final answer
    x = 9,359.08

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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.