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Finding the Fourth Proportional to 12,212.71, 16,853.73 and 7,177.60

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Solution

The fourth proportional to 12,212.71, 16,853.73 and 7,177.60 is: 9,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.71 : 16,853.73 = 7,177.60 : x
  2. Step 2: Convert to fraction form
    12,212.71/16,853.73 = 7,177.60/x
  3. Step 3: Cross multiply
    12,212.71x = 16,853.73 × 7,177.60
  4. Step 4: Simplify right side
    12,212.71x = 120,969,332.45
  5. Step 5: Solve for x
    x = 120,969,332.45/12,212.71
  6. Step 6: Final answer
    x = 9,905.20

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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.