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Finding the Fourth Proportional to 23,663.34, 32,654.97 and 12,908.31

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Solution

The fourth proportional to 23,663.34, 32,654.97 and 12,908.31 is: 17,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,663.34 : 32,654.97 = 12,908.31 : x
  2. Step 2: Convert to fraction form
    23,663.34/32,654.97 = 12,908.31/x
  3. Step 3: Cross multiply
    23,663.34x = 32,654.97 × 12,908.31
  4. Step 4: Simplify right side
    23,663.34x = 421,520,475.80
  5. Step 5: Solve for x
    x = 421,520,475.80/23,663.34
  6. Step 6: Final answer
    x = 17,813.23

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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.