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Finding the Fourth Proportional to 23,149.94, 34,720.65 and 6,505.92

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Solution

The fourth proportional to 23,149.94, 34,720.65 and 6,505.92 is: 9,757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149.94 : 34,720.65 = 6,505.92 : x
  2. Step 2: Convert to fraction form
    23,149.94/34,720.65 = 6,505.92/x
  3. Step 3: Cross multiply
    23,149.94x = 34,720.65 × 6,505.92
  4. Step 4: Simplify right side
    23,149.94x = 225,889,771.25
  5. Step 5: Solve for x
    x = 225,889,771.25/23,149.94
  6. Step 6: Final answer
    x = 9,757.68

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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.