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Finding the Fourth Proportional to 13,691.84, 20,534.24 and 5,372.16

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Solution

The fourth proportional to 13,691.84, 20,534.24 and 5,372.16 is: 8,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.84 : 20,534.24 = 5,372.16 : x
  2. Step 2: Convert to fraction form
    13,691.84/20,534.24 = 5,372.16/x
  3. Step 3: Cross multiply
    13,691.84x = 20,534.24 × 5,372.16
  4. Step 4: Simplify right side
    13,691.84x = 110,313,222.76
  5. Step 5: Solve for x
    x = 110,313,222.76/13,691.84
  6. Step 6: Final answer
    x = 8,056.86

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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.