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Finding the Fourth Proportional to 18,285.12, 27,427.44 and 4,434

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Solution

The fourth proportional to 18,285.12, 27,427.44 and 4,434 is: 6,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.12 : 27,427.44 = 4,434 : x
  2. Step 2: Convert to fraction form
    18,285.12/27,427.44 = 4,434/x
  3. Step 3: Cross multiply
    18,285.12x = 27,427.44 × 4,434
  4. Step 4: Simplify right side
    18,285.12x = 121,613,268.96
  5. Step 5: Solve for x
    x = 121,613,268.96/18,285.12
  6. Step 6: Final answer
    x = 6,650.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.