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Finding the Fourth Proportional to 12,107.26, 16,717.35 and 9,759.88

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Solution

The fourth proportional to 12,107.26, 16,717.35 and 9,759.88 is: 13,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.26 : 16,717.35 = 9,759.88 : x
  2. Step 2: Convert to fraction form
    12,107.26/16,717.35 = 9,759.88/x
  3. Step 3: Cross multiply
    12,107.26x = 16,717.35 × 9,759.88
  4. Step 4: Simplify right side
    12,107.26x = 163,159,329.92
  5. Step 5: Solve for x
    x = 163,159,329.92/12,107.26
  6. Step 6: Final answer
    x = 13,476.16

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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.