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Finding the Fourth Proportional to 17,821.29, 26,731.34 and 8,468.02

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Solution

The fourth proportional to 17,821.29, 26,731.34 and 8,468.02 is: 12,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.29 : 26,731.34 = 8,468.02 : x
  2. Step 2: Convert to fraction form
    17,821.29/26,731.34 = 8,468.02/x
  3. Step 3: Cross multiply
    17,821.29x = 26,731.34 × 8,468.02
  4. Step 4: Simplify right side
    17,821.29x = 226,361,521.75
  5. Step 5: Solve for x
    x = 226,361,521.75/17,821.29
  6. Step 6: Final answer
    x = 12,701.75

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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.