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Finding the Fourth Proportional to 23,145.75, 34,713.36 and 6,507.41

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Solution

The fourth proportional to 23,145.75, 34,713.36 and 6,507.41 is: 9,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.75 : 34,713.36 = 6,507.41 : x
  2. Step 2: Convert to fraction form
    23,145.75/34,713.36 = 6,507.41/x
  3. Step 3: Cross multiply
    23,145.75x = 34,713.36 × 6,507.41
  4. Step 4: Simplify right side
    23,145.75x = 225,893,892.43
  5. Step 5: Solve for x
    x = 225,893,892.43/23,145.75
  6. Step 6: Final answer
    x = 9,759.63

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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.