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Finding the Fourth Proportional to 13,930.92, 20,897.46 and 6,033.96

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Solution

The fourth proportional to 13,930.92, 20,897.46 and 6,033.96 is: 9,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.92 : 20,897.46 = 6,033.96 : x
  2. Step 2: Convert to fraction form
    13,930.92/20,897.46 = 6,033.96/x
  3. Step 3: Cross multiply
    13,930.92x = 20,897.46 × 6,033.96
  4. Step 4: Simplify right side
    13,930.92x = 126,094,437.74
  5. Step 5: Solve for x
    x = 126,094,437.74/13,930.92
  6. Step 6: Final answer
    x = 9,051.41

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