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Finding the Fourth Proportional to 11,923.32, 16,442.73 and 7,142.49

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Solution

The fourth proportional to 11,923.32, 16,442.73 and 7,142.49 is: 9,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.32 : 16,442.73 = 7,142.49 : x
  2. Step 2: Convert to fraction form
    11,923.32/16,442.73 = 7,142.49/x
  3. Step 3: Cross multiply
    11,923.32x = 16,442.73 × 7,142.49
  4. Step 4: Simplify right side
    11,923.32x = 117,442,034.60
  5. Step 5: Solve for x
    x = 117,442,034.60/11,923.32
  6. Step 6: Final answer
    x = 9,849.78

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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.