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Finding the Fourth Proportional to 12,106.26, 16,715.97 and 9,758.88

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Solution

The fourth proportional to 12,106.26, 16,715.97 and 9,758.88 is: 13,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.26 : 16,715.97 = 9,758.88 : x
  2. Step 2: Convert to fraction form
    12,106.26/16,715.97 = 9,758.88/x
  3. Step 3: Cross multiply
    12,106.26x = 16,715.97 × 9,758.88
  4. Step 4: Simplify right side
    12,106.26x = 163,129,145.31
  5. Step 5: Solve for x
    x = 163,129,145.31/12,106.26
  6. Step 6: Final answer
    x = 13,474.78

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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.