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Finding the Fourth Proportional to 16,297.74, 22,489.11 and 9,222.75

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Solution

The fourth proportional to 16,297.74, 22,489.11 and 9,222.75 is: 12,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.74 : 22,489.11 = 9,222.75 : x
  2. Step 2: Convert to fraction form
    16,297.74/22,489.11 = 9,222.75/x
  3. Step 3: Cross multiply
    16,297.74x = 22,489.11 × 9,222.75
  4. Step 4: Simplify right side
    16,297.74x = 207,411,439.25
  5. Step 5: Solve for x
    x = 207,411,439.25/16,297.74
  6. Step 6: Final answer
    x = 12,726.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.