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Finding the Fourth Proportional to 19,856, 27,401.28 and 11,024

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Solution

The fourth proportional to 19,856, 27,401.28 and 11,024 is: 15,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856 : 27,401.28 = 11,024 : x
  2. Step 2: Convert to fraction form
    19,856/27,401.28 = 11,024/x
  3. Step 3: Cross multiply
    19,856x = 27,401.28 × 11,024
  4. Step 4: Simplify right side
    19,856x = 302,071,710.72
  5. Step 5: Solve for x
    x = 302,071,710.72/19,856
  6. Step 6: Final answer
    x = 15,213.12

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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.