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Finding the Fourth Proportional to 27,919.36, 38,531.84 and 15,984

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Solution

The fourth proportional to 27,919.36, 38,531.84 and 15,984 is: 22,059.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,919.36 : 38,531.84 = 15,984 : x
  2. Step 2: Convert to fraction form
    27,919.36/38,531.84 = 15,984/x
  3. Step 3: Cross multiply
    27,919.36x = 38,531.84 × 15,984
  4. Step 4: Simplify right side
    27,919.36x = 615,892,930.56
  5. Step 5: Solve for x
    x = 615,892,930.56/27,919.36
  6. Step 6: Final answer
    x = 22,059.71

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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.