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Finding the Fourth Proportional to 13,902.47, 20,856.42 and 5,137.46

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Solution

The fourth proportional to 13,902.47, 20,856.42 and 5,137.46 is: 7,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.47 : 20,856.42 = 5,137.46 : x
  2. Step 2: Convert to fraction form
    13,902.47/20,856.42 = 5,137.46/x
  3. Step 3: Cross multiply
    13,902.47x = 20,856.42 × 5,137.46
  4. Step 4: Simplify right side
    13,902.47x = 107,148,919.21
  5. Step 5: Solve for x
    x = 107,148,919.21/13,902.47
  6. Step 6: Final answer
    x = 7,707.19

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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.