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Finding the Fourth Proportional to 15,511, 21,396.06 and 9,223

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Solution

The fourth proportional to 15,511, 21,396.06 and 9,223 is: 12,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511 : 21,396.06 = 9,223 : x
  2. Step 2: Convert to fraction form
    15,511/21,396.06 = 9,223/x
  3. Step 3: Cross multiply
    15,511x = 21,396.06 × 9,223
  4. Step 4: Simplify right side
    15,511x = 197,335,861.38
  5. Step 5: Solve for x
    x = 197,335,861.38/15,511
  6. Step 6: Final answer
    x = 12,722.32

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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.