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Finding the Fourth Proportional to 13,601.77, 20,398.70 and 5,704.07

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Solution

The fourth proportional to 13,601.77, 20,398.70 and 5,704.07 is: 8,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.77 : 20,398.70 = 5,704.07 : x
  2. Step 2: Convert to fraction form
    13,601.77/20,398.70 = 5,704.07/x
  3. Step 3: Cross multiply
    13,601.77x = 20,398.70 × 5,704.07
  4. Step 4: Simplify right side
    13,601.77x = 116,355,635.19
  5. Step 5: Solve for x
    x = 116,355,635.19/13,601.77
  6. Step 6: Final answer
    x = 8,554.45

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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.