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Finding the Fourth Proportional to 13,435.46, 20,144.54 and 6,411.68

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Solution

The fourth proportional to 13,435.46, 20,144.54 and 6,411.68 is: 9,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.46 : 20,144.54 = 6,411.68 : x
  2. Step 2: Convert to fraction form
    13,435.46/20,144.54 = 6,411.68/x
  3. Step 3: Cross multiply
    13,435.46x = 20,144.54 × 6,411.68
  4. Step 4: Simplify right side
    13,435.46x = 129,160,344.23
  5. Step 5: Solve for x
    x = 129,160,344.23/13,435.46
  6. Step 6: Final answer
    x = 9,613.39

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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.