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Finding the Fourth Proportional to 23,241.42, 32,072.74 and 12,631.09

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Solution

The fourth proportional to 23,241.42, 32,072.74 and 12,631.09 is: 17,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.42 : 32,072.74 = 12,631.09 : x
  2. Step 2: Convert to fraction form
    23,241.42/32,072.74 = 12,631.09/x
  3. Step 3: Cross multiply
    23,241.42x = 32,072.74 × 12,631.09
  4. Step 4: Simplify right side
    23,241.42x = 405,113,665.49
  5. Step 5: Solve for x
    x = 405,113,665.49/23,241.42
  6. Step 6: Final answer
    x = 17,430.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.