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Finding the Fourth Proportional to 23,217, 34,831.44 and 7,634.76

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Solution

The fourth proportional to 23,217, 34,831.44 and 7,634.76 is: 11,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217 : 34,831.44 = 7,634.76 : x
  2. Step 2: Convert to fraction form
    23,217/34,831.44 = 7,634.76/x
  3. Step 3: Cross multiply
    23,217x = 34,831.44 × 7,634.76
  4. Step 4: Simplify right side
    23,217x = 265,929,684.85
  5. Step 5: Solve for x
    x = 265,929,684.85/23,217
  6. Step 6: Final answer
    x = 11,454.09

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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.