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Finding the Fourth Proportional to 23,612, 35,424.08 and 8,821.02

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Solution

The fourth proportional to 23,612, 35,424.08 and 8,821.02 is: 13,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612 : 35,424.08 = 8,821.02 : x
  2. Step 2: Convert to fraction form
    23,612/35,424.08 = 8,821.02/x
  3. Step 3: Cross multiply
    23,612x = 35,424.08 × 8,821.02
  4. Step 4: Simplify right side
    23,612x = 312,476,518.16
  5. Step 5: Solve for x
    x = 312,476,518.16/23,612
  6. Step 6: Final answer
    x = 13,233.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.