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Finding the Fourth Proportional to 15,468.63, 21,352.24 and 9,181

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Solution

The fourth proportional to 15,468.63, 21,352.24 and 9,181 is: 12,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,468.63 : 21,352.24 = 9,181 : x
  2. Step 2: Convert to fraction form
    15,468.63/21,352.24 = 9,181/x
  3. Step 3: Cross multiply
    15,468.63x = 21,352.24 × 9,181
  4. Step 4: Simplify right side
    15,468.63x = 196,034,915.44
  5. Step 5: Solve for x
    x = 196,034,915.44/15,468.63
  6. Step 6: Final answer
    x = 12,673.06

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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.