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Finding the Fourth Proportional to 23,682.69, 35,525.93 and 7,887.15

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Solution

The fourth proportional to 23,682.69, 35,525.93 and 7,887.15 is: 11,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.69 : 35,525.93 = 7,887.15 : x
  2. Step 2: Convert to fraction form
    23,682.69/35,525.93 = 7,887.15/x
  3. Step 3: Cross multiply
    23,682.69x = 35,525.93 × 7,887.15
  4. Step 4: Simplify right side
    23,682.69x = 280,198,299.36
  5. Step 5: Solve for x
    x = 280,198,299.36/23,682.69
  6. Step 6: Final answer
    x = 11,831.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.