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Finding the Fourth Proportional to 23,654.25, 32,642.01 and 13,043.25

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Solution

The fourth proportional to 23,654.25, 32,642.01 and 13,043.25 is: 17,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.25 : 32,642.01 = 13,043.25 : x
  2. Step 2: Convert to fraction form
    23,654.25/32,642.01 = 13,043.25/x
  3. Step 3: Cross multiply
    23,654.25x = 32,642.01 × 13,043.25
  4. Step 4: Simplify right side
    23,654.25x = 425,757,896.93
  5. Step 5: Solve for x
    x = 425,757,896.93/23,654.25
  6. Step 6: Final answer
    x = 17,999.21

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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.