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Finding the Fourth Proportional to 20,271.38, 27,971.16 and 11,317.44

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Solution

The fourth proportional to 20,271.38, 27,971.16 and 11,317.44 is: 15,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.38 : 27,971.16 = 11,317.44 : x
  2. Step 2: Convert to fraction form
    20,271.38/27,971.16 = 11,317.44/x
  3. Step 3: Cross multiply
    20,271.38x = 27,971.16 × 11,317.44
  4. Step 4: Simplify right side
    20,271.38x = 316,561,925.03
  5. Step 5: Solve for x
    x = 316,561,925.03/20,271.38
  6. Step 6: Final answer
    x = 15,616.20

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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.