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Finding the Fourth Proportional to 15,414.30, 21,269.34 and 9,040.38

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Solution

The fourth proportional to 15,414.30, 21,269.34 and 9,040.38 is: 12,474.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.30 : 21,269.34 = 9,040.38 : x
  2. Step 2: Convert to fraction form
    15,414.30/21,269.34 = 9,040.38/x
  3. Step 3: Cross multiply
    15,414.30x = 21,269.34 × 9,040.38
  4. Step 4: Simplify right side
    15,414.30x = 192,282,915.95
  5. Step 5: Solve for x
    x = 192,282,915.95/15,414.30
  6. Step 6: Final answer
    x = 12,474.32

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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.