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Finding the Fourth Proportional to 13,902.84, 20,853.72 and 5,137.56

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Solution

The fourth proportional to 13,902.84, 20,853.72 and 5,137.56 is: 7,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.84 : 20,853.72 = 5,137.56 : x
  2. Step 2: Convert to fraction form
    13,902.84/20,853.72 = 5,137.56/x
  3. Step 3: Cross multiply
    13,902.84x = 20,853.72 × 5,137.56
  4. Step 4: Simplify right side
    13,902.84x = 107,137,237.72
  5. Step 5: Solve for x
    x = 107,137,237.72/13,902.84
  6. Step 6: Final answer
    x = 7,706.14

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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.