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Finding the Fourth Proportional to 23,645.76, 35,449.20 and 9,415.68

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Solution

The fourth proportional to 23,645.76, 35,449.20 and 9,415.68 is: 14,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.76 : 35,449.20 = 9,415.68 : x
  2. Step 2: Convert to fraction form
    23,645.76/35,449.20 = 9,415.68/x
  3. Step 3: Cross multiply
    23,645.76x = 35,449.20 × 9,415.68
  4. Step 4: Simplify right side
    23,645.76x = 333,778,323.46
  5. Step 5: Solve for x
    x = 333,778,323.46/23,645.76
  6. Step 6: Final answer
    x = 14,115.78

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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.