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Finding the Fourth Proportional to 20,153.70, 27,814.37 and 12,195.77

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Solution

The fourth proportional to 20,153.70, 27,814.37 and 12,195.77 is: 16,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.70 : 27,814.37 = 12,195.77 : x
  2. Step 2: Convert to fraction form
    20,153.70/27,814.37 = 12,195.77/x
  3. Step 3: Cross multiply
    20,153.70x = 27,814.37 × 12,195.77
  4. Step 4: Simplify right side
    20,153.70x = 339,217,459.16
  5. Step 5: Solve for x
    x = 339,217,459.16/20,153.70
  6. Step 6: Final answer
    x = 16,831.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.