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Finding the Fourth Proportional to 23,348.50, 35,023.07 and 7,766.14

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Solution

The fourth proportional to 23,348.50, 35,023.07 and 7,766.14 is: 11,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348.50 : 35,023.07 = 7,766.14 : x
  2. Step 2: Convert to fraction form
    23,348.50/35,023.07 = 7,766.14/x
  3. Step 3: Cross multiply
    23,348.50x = 35,023.07 × 7,766.14
  4. Step 4: Simplify right side
    23,348.50x = 271,994,064.85
  5. Step 5: Solve for x
    x = 271,994,064.85/23,348.50
  6. Step 6: Final answer
    x = 11,649.32

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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.