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Finding the Fourth Proportional to 25,115.94, 37,654.47 and 11,974.50

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Solution

The fourth proportional to 25,115.94, 37,654.47 and 11,974.50 is: 17,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,115.94 : 37,654.47 = 11,974.50 : x
  2. Step 2: Convert to fraction form
    25,115.94/37,654.47 = 11,974.50/x
  3. Step 3: Cross multiply
    25,115.94x = 37,654.47 × 11,974.50
  4. Step 4: Simplify right side
    25,115.94x = 450,893,451.02
  5. Step 5: Solve for x
    x = 450,893,451.02/25,115.94
  6. Step 6: Final answer
    x = 17,952.48

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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.