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Finding the Fourth Proportional to 13,730.87, 20,607.24 and 5,412.98

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Solution

The fourth proportional to 13,730.87, 20,607.24 and 5,412.98 is: 8,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.87 : 20,607.24 = 5,412.98 : x
  2. Step 2: Convert to fraction form
    13,730.87/20,607.24 = 5,412.98/x
  3. Step 3: Cross multiply
    13,730.87x = 20,607.24 × 5,412.98
  4. Step 4: Simplify right side
    13,730.87x = 111,546,474.94
  5. Step 5: Solve for x
    x = 111,546,474.94/13,730.87
  6. Step 6: Final answer
    x = 8,123.78

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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.