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Finding the Fourth Proportional to 15,442.82, 21,311.09 and 8,369.24

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Solution

The fourth proportional to 15,442.82, 21,311.09 and 8,369.24 is: 11,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.82 : 21,311.09 = 8,369.24 : x
  2. Step 2: Convert to fraction form
    15,442.82/21,311.09 = 8,369.24/x
  3. Step 3: Cross multiply
    15,442.82x = 21,311.09 × 8,369.24
  4. Step 4: Simplify right side
    15,442.82x = 178,357,669.69
  5. Step 5: Solve for x
    x = 178,357,669.69/15,442.82
  6. Step 6: Final answer
    x = 11,549.55

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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.