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Finding the Fourth Proportional to 23,407.78, 35,116.53 and 7,825

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Solution

The fourth proportional to 23,407.78, 35,116.53 and 7,825 is: 11,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.78 : 35,116.53 = 7,825 : x
  2. Step 2: Convert to fraction form
    23,407.78/35,116.53 = 7,825/x
  3. Step 3: Cross multiply
    23,407.78x = 35,116.53 × 7,825
  4. Step 4: Simplify right side
    23,407.78x = 274,786,847.25
  5. Step 5: Solve for x
    x = 274,786,847.25/23,407.78
  6. Step 6: Final answer
    x = 11,739.12

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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.