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Finding the Fourth Proportional to 18,203.96, 27,306.54 and 5,056.46

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Solution

The fourth proportional to 18,203.96, 27,306.54 and 5,056.46 is: 7,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,203.96 : 27,306.54 = 5,056.46 : x
  2. Step 2: Convert to fraction form
    18,203.96/27,306.54 = 5,056.46/x
  3. Step 3: Cross multiply
    18,203.96x = 27,306.54 × 5,056.46
  4. Step 4: Simplify right side
    18,203.96x = 138,074,427.25
  5. Step 5: Solve for x
    x = 138,074,427.25/18,203.96
  6. Step 6: Final answer
    x = 7,584.86

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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.