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Finding the Fourth Proportional to 22,201.95, 30,617.83 and 16,549.23

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Solution

The fourth proportional to 22,201.95, 30,617.83 and 16,549.23 is: 22,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.95 : 30,617.83 = 16,549.23 : x
  2. Step 2: Convert to fraction form
    22,201.95/30,617.83 = 16,549.23/x
  3. Step 3: Cross multiply
    22,201.95x = 30,617.83 × 16,549.23
  4. Step 4: Simplify right side
    22,201.95x = 506,701,646.27
  5. Step 5: Solve for x
    x = 506,701,646.27/22,201.95
  6. Step 6: Final answer
    x = 22,822.39

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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.