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Finding the Fourth Proportional to 16,262.97, 22,440.42 and 9,186.81

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Solution

The fourth proportional to 16,262.97, 22,440.42 and 9,186.81 is: 12,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.97 : 22,440.42 = 9,186.81 : x
  2. Step 2: Convert to fraction form
    16,262.97/22,440.42 = 9,186.81/x
  3. Step 3: Cross multiply
    16,262.97x = 22,440.42 × 9,186.81
  4. Step 4: Simplify right side
    16,262.97x = 206,155,874.86
  5. Step 5: Solve for x
    x = 206,155,874.86/16,262.97
  6. Step 6: Final answer
    x = 12,676.40

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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.