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Finding the Fourth Proportional to 23,131.40, 34,694.42 and 6,492.78

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Solution

The fourth proportional to 23,131.40, 34,694.42 and 6,492.78 is: 9,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,131.40 : 34,694.42 = 6,492.78 : x
  2. Step 2: Convert to fraction form
    23,131.40/34,694.42 = 6,492.78/x
  3. Step 3: Cross multiply
    23,131.40x = 34,694.42 × 6,492.78
  4. Step 4: Simplify right side
    23,131.40x = 225,263,203.82
  5. Step 5: Solve for x
    x = 225,263,203.82/23,131.40
  6. Step 6: Final answer
    x = 9,738.42

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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.