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Finding the Fourth Proportional to 23,226.68, 32,053.11 and 12,616.49

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Solution

The fourth proportional to 23,226.68, 32,053.11 and 12,616.49 is: 17,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.68 : 32,053.11 = 12,616.49 : x
  2. Step 2: Convert to fraction form
    23,226.68/32,053.11 = 12,616.49/x
  3. Step 3: Cross multiply
    23,226.68x = 32,053.11 × 12,616.49
  4. Step 4: Simplify right side
    23,226.68x = 404,397,741.78
  5. Step 5: Solve for x
    x = 404,397,741.78/23,226.68
  6. Step 6: Final answer
    x = 17,410.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.