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Finding the Fourth Proportional to 13,096.42, 18,074.01 and 7,791.46

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Solution

The fourth proportional to 13,096.42, 18,074.01 and 7,791.46 is: 10,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.42 : 18,074.01 = 7,791.46 : x
  2. Step 2: Convert to fraction form
    13,096.42/18,074.01 = 7,791.46/x
  3. Step 3: Cross multiply
    13,096.42x = 18,074.01 × 7,791.46
  4. Step 4: Simplify right side
    13,096.42x = 140,822,925.95
  5. Step 5: Solve for x
    x = 140,822,925.95/13,096.42
  6. Step 6: Final answer
    x = 10,752.78

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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.