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Finding the Fourth Proportional to 16,101.49, 22,218.78 and 9,026.95

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Solution

The fourth proportional to 16,101.49, 22,218.78 and 9,026.95 is: 12,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.49 : 22,218.78 = 9,026.95 : x
  2. Step 2: Convert to fraction form
    16,101.49/22,218.78 = 9,026.95/x
  3. Step 3: Cross multiply
    16,101.49x = 22,218.78 × 9,026.95
  4. Step 4: Simplify right side
    16,101.49x = 200,567,816.12
  5. Step 5: Solve for x
    x = 200,567,816.12/16,101.49
  6. Step 6: Final answer
    x = 12,456.48

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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.