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Finding the Fourth Proportional to 18,497.46, 27,747.54 and 5,349.90

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Solution

The fourth proportional to 18,497.46, 27,747.54 and 5,349.90 is: 8,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.46 : 27,747.54 = 5,349.90 : x
  2. Step 2: Convert to fraction form
    18,497.46/27,747.54 = 5,349.90/x
  3. Step 3: Cross multiply
    18,497.46x = 27,747.54 × 5,349.90
  4. Step 4: Simplify right side
    18,497.46x = 148,446,564.25
  5. Step 5: Solve for x
    x = 148,446,564.25/18,497.46
  6. Step 6: Final answer
    x = 8,025.24

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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.