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Finding the Fourth Proportional to 13,821.68, 20,702.28 and 7,963.76

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Solution

The fourth proportional to 13,821.68, 20,702.28 and 7,963.76 is: 11,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.68 : 20,702.28 = 7,963.76 : x
  2. Step 2: Convert to fraction form
    13,821.68/20,702.28 = 7,963.76/x
  3. Step 3: Cross multiply
    13,821.68x = 20,702.28 × 7,963.76
  4. Step 4: Simplify right side
    13,821.68x = 164,867,989.37
  5. Step 5: Solve for x
    x = 164,867,989.37/13,821.68
  6. Step 6: Final answer
    x = 11,928.22

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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.