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Finding the Fourth Proportional to 23,142.11, 34,713.16 and 5,611.78

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Solution

The fourth proportional to 23,142.11, 34,713.16 and 5,611.78 is: 8,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.11 : 34,713.16 = 5,611.78 : x
  2. Step 2: Convert to fraction form
    23,142.11/34,713.16 = 5,611.78/x
  3. Step 3: Cross multiply
    23,142.11x = 34,713.16 × 5,611.78
  4. Step 4: Simplify right side
    23,142.11x = 194,802,646.39
  5. Step 5: Solve for x
    x = 194,802,646.39/23,142.11
  6. Step 6: Final answer
    x = 8,417.67

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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.