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Finding the Fourth Proportional to 16,649.64, 22,974.18 and 16,201.64

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Solution

The fourth proportional to 16,649.64, 22,974.18 and 16,201.64 is: 22,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.64 : 22,974.18 = 16,201.64 : x
  2. Step 2: Convert to fraction form
    16,649.64/22,974.18 = 16,201.64/x
  3. Step 3: Cross multiply
    16,649.64x = 22,974.18 × 16,201.64
  4. Step 4: Simplify right side
    16,649.64x = 372,219,393.66
  5. Step 5: Solve for x
    x = 372,219,393.66/16,649.64
  6. Step 6: Final answer
    x = 22,356.00

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1.5x scale

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.