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Finding the Fourth Proportional to 13,657.90, 18,839.45 and 8,343.49

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Solution

The fourth proportional to 13,657.90, 18,839.45 and 8,343.49 is: 11,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.90 : 18,839.45 = 8,343.49 : x
  2. Step 2: Convert to fraction form
    13,657.90/18,839.45 = 8,343.49/x
  3. Step 3: Cross multiply
    13,657.90x = 18,839.45 × 8,343.49
  4. Step 4: Simplify right side
    13,657.90x = 157,186,762.68
  5. Step 5: Solve for x
    x = 157,186,762.68/13,657.90
  6. Step 6: Final answer
    x = 11,508.85

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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.