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Finding the Fourth Proportional to 12,645.64, 17,434.02 and 8,863.72

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Solution

The fourth proportional to 12,645.64, 17,434.02 and 8,863.72 is: 12,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.64 : 17,434.02 = 8,863.72 : x
  2. Step 2: Convert to fraction form
    12,645.64/17,434.02 = 8,863.72/x
  3. Step 3: Cross multiply
    12,645.64x = 17,434.02 × 8,863.72
  4. Step 4: Simplify right side
    12,645.64x = 154,530,271.75
  5. Step 5: Solve for x
    x = 154,530,271.75/12,645.64
  6. Step 6: Final answer
    x = 12,220.04

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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.