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Finding the Fourth Proportional to 23,241.42, 34,853.40 and 8,446.68

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Solution

The fourth proportional to 23,241.42, 34,853.40 and 8,446.68 is: 12,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.42 : 34,853.40 = 8,446.68 : x
  2. Step 2: Convert to fraction form
    23,241.42/34,853.40 = 8,446.68/x
  3. Step 3: Cross multiply
    23,241.42x = 34,853.40 × 8,446.68
  4. Step 4: Simplify right side
    23,241.42x = 294,395,516.71
  5. Step 5: Solve for x
    x = 294,395,516.71/23,241.42
  6. Step 6: Final answer
    x = 12,666.85

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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.