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Finding the Fourth Proportional to 23,265.16, 32,105.02 and 12,654.84

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Solution

The fourth proportional to 23,265.16, 32,105.02 and 12,654.84 is: 17,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265.16 : 32,105.02 = 12,654.84 : x
  2. Step 2: Convert to fraction form
    23,265.16/32,105.02 = 12,654.84/x
  3. Step 3: Cross multiply
    23,265.16x = 32,105.02 × 12,654.84
  4. Step 4: Simplify right side
    23,265.16x = 406,283,891.30
  5. Step 5: Solve for x
    x = 406,283,891.30/23,265.16
  6. Step 6: Final answer
    x = 17,463.19

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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.