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Finding the Fourth Proportional to 16,472.93, 22,732.22 and 9,205.08

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Solution

The fourth proportional to 16,472.93, 22,732.22 and 9,205.08 is: 12,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.93 : 22,732.22 = 9,205.08 : x
  2. Step 2: Convert to fraction form
    16,472.93/22,732.22 = 9,205.08/x
  3. Step 3: Cross multiply
    16,472.93x = 22,732.22 × 9,205.08
  4. Step 4: Simplify right side
    16,472.93x = 209,251,903.68
  5. Step 5: Solve for x
    x = 209,251,903.68/16,472.93
  6. Step 6: Final answer
    x = 12,702.77

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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.