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Finding the Fourth Proportional to 23,685.89, 35,529.77 and 9,645.68

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Solution

The fourth proportional to 23,685.89, 35,529.77 and 9,645.68 is: 14,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.89 : 35,529.77 = 9,645.68 : x
  2. Step 2: Convert to fraction form
    23,685.89/35,529.77 = 9,645.68/x
  3. Step 3: Cross multiply
    23,685.89x = 35,529.77 × 9,645.68
  4. Step 4: Simplify right side
    23,685.89x = 342,708,904.83
  5. Step 5: Solve for x
    x = 342,708,904.83/23,685.89
  6. Step 6: Final answer
    x = 14,468.91

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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.