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Finding the Fourth Proportional to 27,434.40, 37,857.24 and 16,102.68

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Solution

The fourth proportional to 27,434.40, 37,857.24 and 16,102.68 is: 22,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434.40 : 37,857.24 = 16,102.68 : x
  2. Step 2: Convert to fraction form
    27,434.40/37,857.24 = 16,102.68/x
  3. Step 3: Cross multiply
    27,434.40x = 37,857.24 × 16,102.68
  4. Step 4: Simplify right side
    27,434.40x = 609,603,021.40
  5. Step 5: Solve for x
    x = 609,603,021.40/27,434.40
  6. Step 6: Final answer
    x = 22,220.39

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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.