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Finding the Fourth Proportional to 21,578.16, 32,371.68 and 9,098.22

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Solution

The fourth proportional to 21,578.16, 32,371.68 and 9,098.22 is: 13,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.16 : 32,371.68 = 9,098.22 : x
  2. Step 2: Convert to fraction form
    21,578.16/32,371.68 = 9,098.22/x
  3. Step 3: Cross multiply
    21,578.16x = 32,371.68 × 9,098.22
  4. Step 4: Simplify right side
    21,578.16x = 294,524,821.92
  5. Step 5: Solve for x
    x = 294,524,821.92/21,578.16
  6. Step 6: Final answer
    x = 13,649.21

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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.