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Finding the Fourth Proportional to 13,410.87, 20,126.54 and 9,660.84

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Solution

The fourth proportional to 13,410.87, 20,126.54 and 9,660.84 is: 14,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.87 : 20,126.54 = 9,660.84 : x
  2. Step 2: Convert to fraction form
    13,410.87/20,126.54 = 9,660.84/x
  3. Step 3: Cross multiply
    13,410.87x = 20,126.54 × 9,660.84
  4. Step 4: Simplify right side
    13,410.87x = 194,439,231.37
  5. Step 5: Solve for x
    x = 194,439,231.37/13,410.87
  6. Step 6: Final answer
    x = 14,498.63

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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.