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Finding the Fourth Proportional to 27,384.74, 37,788.10 and 20,218.46

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Solution

The fourth proportional to 27,384.74, 37,788.10 and 20,218.46 is: 27,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384.74 : 37,788.10 = 20,218.46 : x
  2. Step 2: Convert to fraction form
    27,384.74/37,788.10 = 20,218.46/x
  3. Step 3: Cross multiply
    27,384.74x = 37,788.10 × 20,218.46
  4. Step 4: Simplify right side
    27,384.74x = 764,017,232.25
  5. Step 5: Solve for x
    x = 764,017,232.25/27,384.74
  6. Step 6: Final answer
    x = 27,899.38

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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.