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Finding the Fourth Proportional to 25,109.94, 37,619 and 11,758.44

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Solution

The fourth proportional to 25,109.94, 37,619 and 11,758.44 is: 17,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,109.94 : 37,619 = 11,758.44 : x
  2. Step 2: Convert to fraction form
    25,109.94/37,619 = 11,758.44/x
  3. Step 3: Cross multiply
    25,109.94x = 37,619 × 11,758.44
  4. Step 4: Simplify right side
    25,109.94x = 442,340,754.36
  5. Step 5: Solve for x
    x = 442,340,754.36/25,109.94
  6. Step 6: Final answer
    x = 17,616.16

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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.