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Finding the Fourth Proportional to 16,079.84, 22,189.92 and 9,006.24

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Solution

The fourth proportional to 16,079.84, 22,189.92 and 9,006.24 is: 12,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,079.84 : 22,189.92 = 9,006.24 : x
  2. Step 2: Convert to fraction form
    16,079.84/22,189.92 = 9,006.24/x
  3. Step 3: Cross multiply
    16,079.84x = 22,189.92 × 9,006.24
  4. Step 4: Simplify right side
    16,079.84x = 199,847,745.10
  5. Step 5: Solve for x
    x = 199,847,745.10/16,079.84
  6. Step 6: Final answer
    x = 12,428.47

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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.