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Finding the Fourth Proportional to 23,264.78, 32,105.97 and 12,654.45

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Solution

The fourth proportional to 23,264.78, 32,105.97 and 12,654.45 is: 17,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.78 : 32,105.97 = 12,654.45 : x
  2. Step 2: Convert to fraction form
    23,264.78/32,105.97 = 12,654.45/x
  3. Step 3: Cross multiply
    23,264.78x = 32,105.97 × 12,654.45
  4. Step 4: Simplify right side
    23,264.78x = 406,283,392.07
  5. Step 5: Solve for x
    x = 406,283,392.07/23,264.78
  6. Step 6: Final answer
    x = 17,463.46

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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.