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Finding the Fourth Proportional to 23,242.76, 32,073.68 and 12,632.31

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Solution

The fourth proportional to 23,242.76, 32,073.68 and 12,632.31 is: 17,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.76 : 32,073.68 = 12,632.31 : x
  2. Step 2: Convert to fraction form
    23,242.76/32,073.68 = 12,632.31/x
  3. Step 3: Cross multiply
    23,242.76x = 32,073.68 × 12,632.31
  4. Step 4: Simplify right side
    23,242.76x = 405,164,605.44
  5. Step 5: Solve for x
    x = 405,164,605.44/23,242.76
  6. Step 6: Final answer
    x = 17,431.86

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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.