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Finding the Fourth Proportional to 23,104.92, 34,659.54 and 6,464.94

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Solution

The fourth proportional to 23,104.92, 34,659.54 and 6,464.94 is: 9,698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.92 : 34,659.54 = 6,464.94 : x
  2. Step 2: Convert to fraction form
    23,104.92/34,659.54 = 6,464.94/x
  3. Step 3: Cross multiply
    23,104.92x = 34,659.54 × 6,464.94
  4. Step 4: Simplify right side
    23,104.92x = 224,071,846.53
  5. Step 5: Solve for x
    x = 224,071,846.53/23,104.92
  6. Step 6: Final answer
    x = 9,698.01

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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.