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Finding the Fourth Proportional to 27,568.94, 38,045.02 and 16,238.34

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Solution

The fourth proportional to 27,568.94, 38,045.02 and 16,238.34 is: 22,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.94 : 38,045.02 = 16,238.34 : x
  2. Step 2: Convert to fraction form
    27,568.94/38,045.02 = 16,238.34/x
  3. Step 3: Cross multiply
    27,568.94x = 38,045.02 × 16,238.34
  4. Step 4: Simplify right side
    27,568.94x = 617,787,970.07
  5. Step 5: Solve for x
    x = 617,787,970.07/27,568.94
  6. Step 6: Final answer
    x = 22,408.84

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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.