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Finding the Fourth Proportional to 19,223.97, 28,835.97 and 7,540.53

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Solution

The fourth proportional to 19,223.97, 28,835.97 and 7,540.53 is: 11,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,223.97 : 28,835.97 = 7,540.53 : x
  2. Step 2: Convert to fraction form
    19,223.97/28,835.97 = 7,540.53/x
  3. Step 3: Cross multiply
    19,223.97x = 28,835.97 × 7,540.53
  4. Step 4: Simplify right side
    19,223.97x = 217,438,496.86
  5. Step 5: Solve for x
    x = 217,438,496.86/19,223.97
  6. Step 6: Final answer
    x = 11,310.80

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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.