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Finding the Fourth Proportional to 12,182.49, 16,812.63 and 6,877.44

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Solution

The fourth proportional to 12,182.49, 16,812.63 and 6,877.44 is: 9,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.49 : 16,812.63 = 6,877.44 : x
  2. Step 2: Convert to fraction form
    12,182.49/16,812.63 = 6,877.44/x
  3. Step 3: Cross multiply
    12,182.49x = 16,812.63 × 6,877.44
  4. Step 4: Simplify right side
    12,182.49x = 115,627,854.07
  5. Step 5: Solve for x
    x = 115,627,854.07/12,182.49
  6. Step 6: Final answer
    x = 9,491.32

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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.