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Finding the Fourth Proportional to 12,772.90, 17,627.69 and 7,107.49

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Solution

The fourth proportional to 12,772.90, 17,627.69 and 7,107.49 is: 9,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.90 : 17,627.69 = 7,107.49 : x
  2. Step 2: Convert to fraction form
    12,772.90/17,627.69 = 7,107.49/x
  3. Step 3: Cross multiply
    12,772.90x = 17,627.69 × 7,107.49
  4. Step 4: Simplify right side
    12,772.90x = 125,288,506.72
  5. Step 5: Solve for x
    x = 125,288,506.72/12,772.90
  6. Step 6: Final answer
    x = 9,808.94

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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.