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Finding the Fourth Proportional to 12,571.61, 17,348.96 and 6,906.50

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Solution

The fourth proportional to 12,571.61, 17,348.96 and 6,906.50 is: 9,531.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.61 : 17,348.96 = 6,906.50 : x
  2. Step 2: Convert to fraction form
    12,571.61/17,348.96 = 6,906.50/x
  3. Step 3: Cross multiply
    12,571.61x = 17,348.96 × 6,906.50
  4. Step 4: Simplify right side
    12,571.61x = 119,820,522.76
  5. Step 5: Solve for x
    x = 119,820,522.76/12,571.61
  6. Step 6: Final answer
    x = 9,531.04

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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.