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Finding the Fourth Proportional to 23,874.40, 35,812.34 and 11,395.76

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Solution

The fourth proportional to 23,874.40, 35,812.34 and 11,395.76 is: 17,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.40 : 35,812.34 = 11,395.76 : x
  2. Step 2: Convert to fraction form
    23,874.40/35,812.34 = 11,395.76/x
  3. Step 3: Cross multiply
    23,874.40x = 35,812.34 × 11,395.76
  4. Step 4: Simplify right side
    23,874.40x = 408,108,831.68
  5. Step 5: Solve for x
    x = 408,108,831.68/23,874.40
  6. Step 6: Final answer
    x = 17,093.99

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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.