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Finding the Fourth Proportional to 12,960.78, 17,888.55 and 8,429.14

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Solution

The fourth proportional to 12,960.78, 17,888.55 and 8,429.14 is: 11,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.78 : 17,888.55 = 8,429.14 : x
  2. Step 2: Convert to fraction form
    12,960.78/17,888.55 = 8,429.14/x
  3. Step 3: Cross multiply
    12,960.78x = 17,888.55 × 8,429.14
  4. Step 4: Simplify right side
    12,960.78x = 150,785,092.35
  5. Step 5: Solve for x
    x = 150,785,092.35/12,960.78
  6. Step 6: Final answer
    x = 11,633.95

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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.