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Finding the Fourth Proportional to 18,383.48, 27,530.80 and 10,462

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Solution

The fourth proportional to 18,383.48, 27,530.80 and 10,462 is: 15,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,383.48 : 27,530.80 = 10,462 : x
  2. Step 2: Convert to fraction form
    18,383.48/27,530.80 = 10,462/x
  3. Step 3: Cross multiply
    18,383.48x = 27,530.80 × 10,462
  4. Step 4: Simplify right side
    18,383.48x = 288,027,229.60
  5. Step 5: Solve for x
    x = 288,027,229.60/18,383.48
  6. Step 6: Final answer
    x = 15,667.72

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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.