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Finding the Fourth Proportional to 22,814.94, 34,222.50 and 7,019.87

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Solution

The fourth proportional to 22,814.94, 34,222.50 and 7,019.87 is: 10,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.94 : 34,222.50 = 7,019.87 : x
  2. Step 2: Convert to fraction form
    22,814.94/34,222.50 = 7,019.87/x
  3. Step 3: Cross multiply
    22,814.94x = 34,222.50 × 7,019.87
  4. Step 4: Simplify right side
    22,814.94x = 240,237,329.96
  5. Step 5: Solve for x
    x = 240,237,329.96/22,814.94
  6. Step 6: Final answer
    x = 10,529.83

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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.