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Finding the Fourth Proportional to 12,177.66, 16,805.46 and 6,871.47

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Solution

The fourth proportional to 12,177.66, 16,805.46 and 6,871.47 is: 9,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.66 : 16,805.46 = 6,871.47 : x
  2. Step 2: Convert to fraction form
    12,177.66/16,805.46 = 6,871.47/x
  3. Step 3: Cross multiply
    12,177.66x = 16,805.46 × 6,871.47
  4. Step 4: Simplify right side
    12,177.66x = 115,478,214.23
  5. Step 5: Solve for x
    x = 115,478,214.23/12,177.66
  6. Step 6: Final answer
    x = 9,482.79

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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.