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Finding the Fourth Proportional to 12,959.24, 17,878.40 and 8,177.60

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Solution

The fourth proportional to 12,959.24, 17,878.40 and 8,177.60 is: 11,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.24 : 17,878.40 = 8,177.60 : x
  2. Step 2: Convert to fraction form
    12,959.24/17,878.40 = 8,177.60/x
  3. Step 3: Cross multiply
    12,959.24x = 17,878.40 × 8,177.60
  4. Step 4: Simplify right side
    12,959.24x = 146,202,403.84
  5. Step 5: Solve for x
    x = 146,202,403.84/12,959.24
  6. Step 6: Final answer
    x = 11,281.71

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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.