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Finding the Fourth Proportional to 22,882.91, 31,568.94 and 13,929.17

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Solution

The fourth proportional to 22,882.91, 31,568.94 and 13,929.17 is: 19,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.91 : 31,568.94 = 13,929.17 : x
  2. Step 2: Convert to fraction form
    22,882.91/31,568.94 = 13,929.17/x
  3. Step 3: Cross multiply
    22,882.91x = 31,568.94 × 13,929.17
  4. Step 4: Simplify right side
    22,882.91x = 439,728,974.14
  5. Step 5: Solve for x
    x = 439,728,974.14/22,882.91
  6. Step 6: Final answer
    x = 19,216.48

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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.