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Finding the Fourth Proportional to 12,571.67, 17,348.90 and 6,906.58

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Solution

The fourth proportional to 12,571.67, 17,348.90 and 6,906.58 is: 9,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.67 : 17,348.90 = 6,906.58 : x
  2. Step 2: Convert to fraction form
    12,571.67/17,348.90 = 6,906.58/x
  3. Step 3: Cross multiply
    12,571.67x = 17,348.90 × 6,906.58
  4. Step 4: Simplify right side
    12,571.67x = 119,821,565.76
  5. Step 5: Solve for x
    x = 119,821,565.76/12,571.67
  6. Step 6: Final answer
    x = 9,531.08

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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.