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Finding the Fourth Proportional to 23,226.38, 32,052.56 and 12,616.01

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Solution

The fourth proportional to 23,226.38, 32,052.56 and 12,616.01 is: 17,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.38 : 32,052.56 = 12,616.01 : x
  2. Step 2: Convert to fraction form
    23,226.38/32,052.56 = 12,616.01/x
  3. Step 3: Cross multiply
    23,226.38x = 32,052.56 × 12,616.01
  4. Step 4: Simplify right side
    23,226.38x = 404,375,417.49
  5. Step 5: Solve for x
    x = 404,375,417.49/23,226.38
  6. Step 6: Final answer
    x = 17,410.18

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Why These Related Problems?

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