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Finding the Fourth Proportional to 13,978.32, 20,974.52 and 9,301.44

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Solution

The fourth proportional to 13,978.32, 20,974.52 and 9,301.44 is: 13,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.32 : 20,974.52 = 9,301.44 : x
  2. Step 2: Convert to fraction form
    13,978.32/20,974.52 = 9,301.44/x
  3. Step 3: Cross multiply
    13,978.32x = 20,974.52 × 9,301.44
  4. Step 4: Simplify right side
    13,978.32x = 195,093,239.31
  5. Step 5: Solve for x
    x = 195,093,239.31/13,978.32
  6. Step 6: Final answer
    x = 13,956.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.