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Finding the Fourth Proportional to 12,772.41, 17,626.59 and 7,107.18

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Solution

The fourth proportional to 12,772.41, 17,626.59 and 7,107.18 is: 9,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.41 : 17,626.59 = 7,107.18 : x
  2. Step 2: Convert to fraction form
    12,772.41/17,626.59 = 7,107.18/x
  3. Step 3: Cross multiply
    12,772.41x = 17,626.59 × 7,107.18
  4. Step 4: Simplify right side
    12,772.41x = 125,275,347.92
  5. Step 5: Solve for x
    x = 125,275,347.92/12,772.41
  6. Step 6: Final answer
    x = 9,808.28

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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.