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Finding the Fourth Proportional to 16,297.68, 22,490.28 and 9,222.60

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Solution

The fourth proportional to 16,297.68, 22,490.28 and 9,222.60 is: 12,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.68 : 22,490.28 = 9,222.60 : x
  2. Step 2: Convert to fraction form
    16,297.68/22,490.28 = 9,222.60/x
  3. Step 3: Cross multiply
    16,297.68x = 22,490.28 × 9,222.60
  4. Step 4: Simplify right side
    16,297.68x = 207,418,856.33
  5. Step 5: Solve for x
    x = 207,418,856.33/16,297.68
  6. Step 6: Final answer
    x = 12,726.89

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