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Finding the Fourth Proportional to 16,465.52, 22,722.92 and 9,013.52

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Solution

The fourth proportional to 16,465.52, 22,722.92 and 9,013.52 is: 12,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.52 : 22,722.92 = 9,013.52 : x
  2. Step 2: Convert to fraction form
    16,465.52/22,722.92 = 9,013.52/x
  3. Step 3: Cross multiply
    16,465.52x = 22,722.92 × 9,013.52
  4. Step 4: Simplify right side
    16,465.52x = 204,813,493.88
  5. Step 5: Solve for x
    x = 204,813,493.88/16,465.52
  6. Step 6: Final answer
    x = 12,438.93

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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.