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Finding the Fourth Proportional to 14,553.34, 21,831.09 and 4,165

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Solution

The fourth proportional to 14,553.34, 21,831.09 and 4,165 is: 6,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.34 : 21,831.09 = 4,165 : x
  2. Step 2: Convert to fraction form
    14,553.34/21,831.09 = 4,165/x
  3. Step 3: Cross multiply
    14,553.34x = 21,831.09 × 4,165
  4. Step 4: Simplify right side
    14,553.34x = 90,926,489.85
  5. Step 5: Solve for x
    x = 90,926,489.85/14,553.34
  6. Step 6: Final answer
    x = 6,247.81

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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.