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Finding the Fourth Proportional to 12,040.86, 16,618.42 and 7,566.42

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Solution

The fourth proportional to 12,040.86, 16,618.42 and 7,566.42 is: 10,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,040.86 : 16,618.42 = 7,566.42 : x
  2. Step 2: Convert to fraction form
    12,040.86/16,618.42 = 7,566.42/x
  3. Step 3: Cross multiply
    12,040.86x = 16,618.42 × 7,566.42
  4. Step 4: Simplify right side
    12,040.86x = 125,741,945.46
  5. Step 5: Solve for x
    x = 125,741,945.46/12,040.86
  6. Step 6: Final answer
    x = 10,442.94

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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.