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Finding the Fourth Proportional to 12,690, 17,512.20 and 7,102.80

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Solution

The fourth proportional to 12,690, 17,512.20 and 7,102.80 is: 9,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690 : 17,512.20 = 7,102.80 : x
  2. Step 2: Convert to fraction form
    12,690/17,512.20 = 7,102.80/x
  3. Step 3: Cross multiply
    12,690x = 17,512.20 × 7,102.80
  4. Step 4: Simplify right side
    12,690x = 124,385,654.16
  5. Step 5: Solve for x
    x = 124,385,654.16/12,690
  6. Step 6: Final answer
    x = 9,801.86

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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.