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Finding the Fourth Proportional to 16,605.78, 22,922.38 and 12,164.81

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Solution

The fourth proportional to 16,605.78, 22,922.38 and 12,164.81 is: 16,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,605.78 : 22,922.38 = 12,164.81 : x
  2. Step 2: Convert to fraction form
    16,605.78/22,922.38 = 12,164.81/x
  3. Step 3: Cross multiply
    16,605.78x = 22,922.38 × 12,164.81
  4. Step 4: Simplify right side
    16,605.78x = 278,846,345.40
  5. Step 5: Solve for x
    x = 278,846,345.40/16,605.78
  6. Step 6: Final answer
    x = 16,792.12

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Why These Related Problems?

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