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Finding the Fourth Proportional to 12,155.38, 16,782.17 and 9,922.57

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Solution

The fourth proportional to 12,155.38, 16,782.17 and 9,922.57 is: 13,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.38 : 16,782.17 = 9,922.57 : x
  2. Step 2: Convert to fraction form
    12,155.38/16,782.17 = 9,922.57/x
  3. Step 3: Cross multiply
    12,155.38x = 16,782.17 × 9,922.57
  4. Step 4: Simplify right side
    12,155.38x = 166,522,165.01
  5. Step 5: Solve for x
    x = 166,522,165.01/12,155.38
  6. Step 6: Final answer
    x = 13,699.46

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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.