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Finding the Fourth Proportional to 23,215.68, 34,819.52 and 7,633.60

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Solution

The fourth proportional to 23,215.68, 34,819.52 and 7,633.60 is: 11,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215.68 : 34,819.52 = 7,633.60 : x
  2. Step 2: Convert to fraction form
    23,215.68/34,819.52 = 7,633.60/x
  3. Step 3: Cross multiply
    23,215.68x = 34,819.52 × 7,633.60
  4. Step 4: Simplify right side
    23,215.68x = 265,798,287.87
  5. Step 5: Solve for x
    x = 265,798,287.87/23,215.68
  6. Step 6: Final answer
    x = 11,449.08

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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.