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Finding the Fourth Proportional to 27,568.43, 38,044.38 and 16,240.22

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Solution

The fourth proportional to 27,568.43, 38,044.38 and 16,240.22 is: 22,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.43 : 38,044.38 = 16,240.22 : x
  2. Step 2: Convert to fraction form
    27,568.43/38,044.38 = 16,240.22/x
  3. Step 3: Cross multiply
    27,568.43x = 38,044.38 × 16,240.22
  4. Step 4: Simplify right side
    27,568.43x = 617,849,196.07
  5. Step 5: Solve for x
    x = 617,849,196.07/27,568.43
  6. Step 6: Final answer
    x = 22,411.48

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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.