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Finding the Fourth Proportional to 13,658.35, 20,474.73 and 7,409.20

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Solution

The fourth proportional to 13,658.35, 20,474.73 and 7,409.20 is: 11,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.35 : 20,474.73 = 7,409.20 : x
  2. Step 2: Convert to fraction form
    13,658.35/20,474.73 = 7,409.20/x
  3. Step 3: Cross multiply
    13,658.35x = 20,474.73 × 7,409.20
  4. Step 4: Simplify right side
    13,658.35x = 151,701,369.52
  5. Step 5: Solve for x
    x = 151,701,369.52/13,658.35
  6. Step 6: Final answer
    x = 11,106.86

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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.