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Finding the Fourth Proportional to 17,582.27, 26,372.79 and 8,218.87

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Solution

The fourth proportional to 17,582.27, 26,372.79 and 8,218.87 is: 12,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.27 : 26,372.79 = 8,218.87 : x
  2. Step 2: Convert to fraction form
    17,582.27/26,372.79 = 8,218.87/x
  3. Step 3: Cross multiply
    17,582.27x = 26,372.79 × 8,218.87
  4. Step 4: Simplify right side
    17,582.27x = 216,754,466.62
  5. Step 5: Solve for x
    x = 216,754,466.62/17,582.27
  6. Step 6: Final answer
    x = 12,328.02

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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.