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Finding the Fourth Proportional to 13,428.39, 20,142.99 and 6,409.15

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Solution

The fourth proportional to 13,428.39, 20,142.99 and 6,409.15 is: 9,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.39 : 20,142.99 = 6,409.15 : x
  2. Step 2: Convert to fraction form
    13,428.39/20,142.99 = 6,409.15/x
  3. Step 3: Cross multiply
    13,428.39x = 20,142.99 × 6,409.15
  4. Step 4: Simplify right side
    13,428.39x = 129,099,444.36
  5. Step 5: Solve for x
    x = 129,099,444.36/13,428.39
  6. Step 6: Final answer
    x = 9,613.92

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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.