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Finding the Fourth Proportional to 12,015.84, 18,016 and 5,000.70

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Solution

The fourth proportional to 12,015.84, 18,016 and 5,000.70 is: 7,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015.84 : 18,016 = 5,000.70 : x
  2. Step 2: Convert to fraction form
    12,015.84/18,016 = 5,000.70/x
  3. Step 3: Cross multiply
    12,015.84x = 18,016 × 5,000.70
  4. Step 4: Simplify right side
    12,015.84x = 90,092,611.20
  5. Step 5: Solve for x
    x = 90,092,611.20/12,015.84
  6. Step 6: Final answer
    x = 7,497.82

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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.