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Finding the Fourth Proportional to 27,795, 38,331.14 and 17,712.92

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Solution

The fourth proportional to 27,795, 38,331.14 and 17,712.92 is: 24,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795 : 38,331.14 = 17,712.92 : x
  2. Step 2: Convert to fraction form
    27,795/38,331.14 = 17,712.92/x
  3. Step 3: Cross multiply
    27,795x = 38,331.14 × 17,712.92
  4. Step 4: Simplify right side
    27,795x = 678,956,416.33
  5. Step 5: Solve for x
    x = 678,956,416.33/27,795
  6. Step 6: Final answer
    x = 24,427.29

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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.