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Finding the Fourth Proportional to 27,178.62, 37,506.87 and 16,422

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Solution

The fourth proportional to 27,178.62, 37,506.87 and 16,422 is: 22,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.62 : 37,506.87 = 16,422 : x
  2. Step 2: Convert to fraction form
    27,178.62/37,506.87 = 16,422/x
  3. Step 3: Cross multiply
    27,178.62x = 37,506.87 × 16,422
  4. Step 4: Simplify right side
    27,178.62x = 615,937,819.14
  5. Step 5: Solve for x
    x = 615,937,819.14/27,178.62
  6. Step 6: Final answer
    x = 22,662.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.