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Finding the Fourth Proportional to 13,923.87, 20,848.14 and 10,197.87

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Solution

The fourth proportional to 13,923.87, 20,848.14 and 10,197.87 is: 15,269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.87 : 20,848.14 = 10,197.87 : x
  2. Step 2: Convert to fraction form
    13,923.87/20,848.14 = 10,197.87/x
  3. Step 3: Cross multiply
    13,923.87x = 20,848.14 × 10,197.87
  4. Step 4: Simplify right side
    13,923.87x = 212,606,621.46
  5. Step 5: Solve for x
    x = 212,606,621.46/13,923.87
  6. Step 6: Final answer
    x = 15,269.22

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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.