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Finding the Fourth Proportional to 21,150, 29,190.09 and 12,195.74

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Solution

The fourth proportional to 21,150, 29,190.09 and 12,195.74 is: 16,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150 : 29,190.09 = 12,195.74 : x
  2. Step 2: Convert to fraction form
    21,150/29,190.09 = 12,195.74/x
  3. Step 3: Cross multiply
    21,150x = 29,190.09 × 12,195.74
  4. Step 4: Simplify right side
    21,150x = 355,994,602.27
  5. Step 5: Solve for x
    x = 355,994,602.27/21,150
  6. Step 6: Final answer
    x = 16,831.90

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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.