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Finding the Fourth Proportional to 12,167.70, 18,237.53 and 5,497

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Solution

The fourth proportional to 12,167.70, 18,237.53 and 5,497 is: 8,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.70 : 18,237.53 = 5,497 : x
  2. Step 2: Convert to fraction form
    12,167.70/18,237.53 = 5,497/x
  3. Step 3: Cross multiply
    12,167.70x = 18,237.53 × 5,497
  4. Step 4: Simplify right side
    12,167.70x = 100,251,674.93
  5. Step 5: Solve for x
    x = 100,251,674.93/12,167.70
  6. Step 6: Final answer
    x = 8,239.17

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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.