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Finding the Fourth Proportional to 23,654.09, 35,505.74 and 17,421.14

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Solution

The fourth proportional to 23,654.09, 35,505.74 and 17,421.14 is: 26,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.09 : 35,505.74 = 17,421.14 : x
  2. Step 2: Convert to fraction form
    23,654.09/35,505.74 = 17,421.14/x
  3. Step 3: Cross multiply
    23,654.09x = 35,505.74 × 17,421.14
  4. Step 4: Simplify right side
    23,654.09x = 618,550,599.66
  5. Step 5: Solve for x
    x = 618,550,599.66/23,654.09
  6. Step 6: Final answer
    x = 26,149.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.