Home / 20,205-27,882.90-11,823.12

Finding the Fourth Proportional to 20,205, 27,882.90 and 11,823.12

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Solution

The fourth proportional to 20,205, 27,882.90 and 11,823.12 is: 16,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205 : 27,882.90 = 11,823.12 : x
  2. Step 2: Convert to fraction form
    20,205/27,882.90 = 11,823.12/x
  3. Step 3: Cross multiply
    20,205x = 27,882.90 × 11,823.12
  4. Step 4: Simplify right side
    20,205x = 329,662,872.65
  5. Step 5: Solve for x
    x = 329,662,872.65/20,205
  6. Step 6: Final answer
    x = 16,315.91

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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.