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Finding the Fourth Proportional to 14,343.09, 19,793.34 and 7,882.80

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Solution

The fourth proportional to 14,343.09, 19,793.34 and 7,882.80 is: 10,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343.09 : 19,793.34 = 7,882.80 : x
  2. Step 2: Convert to fraction form
    14,343.09/19,793.34 = 7,882.80/x
  3. Step 3: Cross multiply
    14,343.09x = 19,793.34 × 7,882.80
  4. Step 4: Simplify right side
    14,343.09x = 156,026,940.55
  5. Step 5: Solve for x
    x = 156,026,940.55/14,343.09
  6. Step 6: Final answer
    x = 10,878.20

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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.