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Finding the Fourth Proportional to 13,173.68, 19,758.34 and 6,154.42

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Solution

The fourth proportional to 13,173.68, 19,758.34 and 6,154.42 is: 9,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.68 : 19,758.34 = 6,154.42 : x
  2. Step 2: Convert to fraction form
    13,173.68/19,758.34 = 6,154.42/x
  3. Step 3: Cross multiply
    13,173.68x = 19,758.34 × 6,154.42
  4. Step 4: Simplify right side
    13,173.68x = 121,601,122.86
  5. Step 5: Solve for x
    x = 121,601,122.86/13,173.68
  6. Step 6: Final answer
    x = 9,230.61

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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.