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Finding the Fourth Proportional to 12,301.16, 16,965.06 and 8,105

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Solution

The fourth proportional to 12,301.16, 16,965.06 and 8,105 is: 11,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.16 : 16,965.06 = 8,105 : x
  2. Step 2: Convert to fraction form
    12,301.16/16,965.06 = 8,105/x
  3. Step 3: Cross multiply
    12,301.16x = 16,965.06 × 8,105
  4. Step 4: Simplify right side
    12,301.16x = 137,501,811.30
  5. Step 5: Solve for x
    x = 137,501,811.30/12,301.16
  6. Step 6: Final answer
    x = 11,177.95

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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.