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Finding the Fourth Proportional to 25,856.77, 38,791.23 and 8,325.94

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Solution

The fourth proportional to 25,856.77, 38,791.23 and 8,325.94 is: 12,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.77 : 38,791.23 = 8,325.94 : x
  2. Step 2: Convert to fraction form
    25,856.77/38,791.23 = 8,325.94/x
  3. Step 3: Cross multiply
    25,856.77x = 38,791.23 × 8,325.94
  4. Step 4: Simplify right side
    25,856.77x = 322,973,453.51
  5. Step 5: Solve for x
    x = 322,973,453.51/25,856.77
  6. Step 6: Final answer
    x = 12,490.87

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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.