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Finding the Fourth Proportional to 17,584.80, 26,381.20 and 8,218.08

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Solution

The fourth proportional to 17,584.80, 26,381.20 and 8,218.08 is: 12,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.80 : 26,381.20 = 8,218.08 : x
  2. Step 2: Convert to fraction form
    17,584.80/26,381.20 = 8,218.08/x
  3. Step 3: Cross multiply
    17,584.80x = 26,381.20 × 8,218.08
  4. Step 4: Simplify right side
    17,584.80x = 216,802,812.10
  5. Step 5: Solve for x
    x = 216,802,812.10/17,584.80
  6. Step 6: Final answer
    x = 12,328.99

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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.