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Finding the Fourth Proportional to 20,968.17, 28,935.70 and 11,408.19

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Solution

The fourth proportional to 20,968.17, 28,935.70 and 11,408.19 is: 15,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,968.17 : 28,935.70 = 11,408.19 : x
  2. Step 2: Convert to fraction form
    20,968.17/28,935.70 = 11,408.19/x
  3. Step 3: Cross multiply
    20,968.17x = 28,935.70 × 11,408.19
  4. Step 4: Simplify right side
    20,968.17x = 330,103,963.38
  5. Step 5: Solve for x
    x = 330,103,963.38/20,968.17
  6. Step 6: Final answer
    x = 15,743.10

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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.