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Finding the Fourth Proportional to 23,015.50, 34,523.26 and 7,222.97

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Solution

The fourth proportional to 23,015.50, 34,523.26 and 7,222.97 is: 10,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,015.50 : 34,523.26 = 7,222.97 : x
  2. Step 2: Convert to fraction form
    23,015.50/34,523.26 = 7,222.97/x
  3. Step 3: Cross multiply
    23,015.50x = 34,523.26 × 7,222.97
  4. Step 4: Simplify right side
    23,015.50x = 249,360,549.69
  5. Step 5: Solve for x
    x = 249,360,549.69/23,015.50
  6. Step 6: Final answer
    x = 10,834.46

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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.