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Finding the Fourth Proportional to 13,446.42, 20,151.14 and 6,858.74

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Solution

The fourth proportional to 13,446.42, 20,151.14 and 6,858.74 is: 10,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.42 : 20,151.14 = 6,858.74 : x
  2. Step 2: Convert to fraction form
    13,446.42/20,151.14 = 6,858.74/x
  3. Step 3: Cross multiply
    13,446.42x = 20,151.14 × 6,858.74
  4. Step 4: Simplify right side
    13,446.42x = 138,211,294.91
  5. Step 5: Solve for x
    x = 138,211,294.91/13,446.42
  6. Step 6: Final answer
    x = 10,278.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.