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Finding the Fourth Proportional to 12,182.74, 16,809.76 and 6,876.53

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Solution

The fourth proportional to 12,182.74, 16,809.76 and 6,876.53 is: 9,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.74 : 16,809.76 = 6,876.53 : x
  2. Step 2: Convert to fraction form
    12,182.74/16,809.76 = 6,876.53/x
  3. Step 3: Cross multiply
    12,182.74x = 16,809.76 × 6,876.53
  4. Step 4: Simplify right side
    12,182.74x = 115,592,806.52
  5. Step 5: Solve for x
    x = 115,592,806.52/12,182.74
  6. Step 6: Final answer
    x = 9,488.25

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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.