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Finding the Fourth Proportional to 27,464.75, 37,905.40 and 17,394.13

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Solution

The fourth proportional to 27,464.75, 37,905.40 and 17,394.13 is: 24,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,464.75 : 37,905.40 = 17,394.13 : x
  2. Step 2: Convert to fraction form
    27,464.75/37,905.40 = 17,394.13/x
  3. Step 3: Cross multiply
    27,464.75x = 37,905.40 × 17,394.13
  4. Step 4: Simplify right side
    27,464.75x = 659,331,265.78
  5. Step 5: Solve for x
    x = 659,331,265.78/27,464.75
  6. Step 6: Final answer
    x = 24,006.45

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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.