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Finding the Fourth Proportional to 16,141.52, 22,274.10 and 9,069.12

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Solution

The fourth proportional to 16,141.52, 22,274.10 and 9,069.12 is: 12,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.52 : 22,274.10 = 9,069.12 : x
  2. Step 2: Convert to fraction form
    16,141.52/22,274.10 = 9,069.12/x
  3. Step 3: Cross multiply
    16,141.52x = 22,274.10 × 9,069.12
  4. Step 4: Simplify right side
    16,141.52x = 202,006,485.79
  5. Step 5: Solve for x
    x = 202,006,485.79/16,141.52
  6. Step 6: Final answer
    x = 12,514.71

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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.