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Finding the Fourth Proportional to 16,223.01, 22,387.09 and 9,053.24

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Solution

The fourth proportional to 16,223.01, 22,387.09 and 9,053.24 is: 12,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.01 : 22,387.09 = 9,053.24 : x
  2. Step 2: Convert to fraction form
    16,223.01/22,387.09 = 9,053.24/x
  3. Step 3: Cross multiply
    16,223.01x = 22,387.09 × 9,053.24
  4. Step 4: Simplify right side
    16,223.01x = 202,675,606.54
  5. Step 5: Solve for x
    x = 202,675,606.54/16,223.01
  6. Step 6: Final answer
    x = 12,493.10

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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.