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Finding the Fourth Proportional to 13,487.38, 20,231.98 and 6,468.93

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Solution

The fourth proportional to 13,487.38, 20,231.98 and 6,468.93 is: 9,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.38 : 20,231.98 = 6,468.93 : x
  2. Step 2: Convert to fraction form
    13,487.38/20,231.98 = 6,468.93/x
  3. Step 3: Cross multiply
    13,487.38x = 20,231.98 × 6,468.93
  4. Step 4: Simplify right side
    13,487.38x = 130,879,246.21
  5. Step 5: Solve for x
    x = 130,879,246.21/13,487.38
  6. Step 6: Final answer
    x = 9,703.83

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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.