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Finding the Fourth Proportional to 22,522.86, 33,782.40 and 6,939

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Solution

The fourth proportional to 22,522.86, 33,782.40 and 6,939 is: 10,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.86 : 33,782.40 = 6,939 : x
  2. Step 2: Convert to fraction form
    22,522.86/33,782.40 = 6,939/x
  3. Step 3: Cross multiply
    22,522.86x = 33,782.40 × 6,939
  4. Step 4: Simplify right side
    22,522.86x = 234,416,073.60
  5. Step 5: Solve for x
    x = 234,416,073.60/22,522.86
  6. Step 6: Final answer
    x = 10,407.92

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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.