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Finding the Fourth Proportional to 15,538, 21,442.56 and 8,464.24

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Solution

The fourth proportional to 15,538, 21,442.56 and 8,464.24 is: 11,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538 : 21,442.56 = 8,464.24 : x
  2. Step 2: Convert to fraction form
    15,538/21,442.56 = 8,464.24/x
  3. Step 3: Cross multiply
    15,538x = 21,442.56 × 8,464.24
  4. Step 4: Simplify right side
    15,538x = 181,494,974.05
  5. Step 5: Solve for x
    x = 181,494,974.05/15,538
  6. Step 6: Final answer
    x = 11,680.72

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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.