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Finding the Fourth Proportional to 25,238.44, 37,856.22 and 6,769

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Solution

The fourth proportional to 25,238.44, 37,856.22 and 6,769 is: 10,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238.44 : 37,856.22 = 6,769 : x
  2. Step 2: Convert to fraction form
    25,238.44/37,856.22 = 6,769/x
  3. Step 3: Cross multiply
    25,238.44x = 37,856.22 × 6,769
  4. Step 4: Simplify right side
    25,238.44x = 256,248,753.18
  5. Step 5: Solve for x
    x = 256,248,753.18/25,238.44
  6. Step 6: Final answer
    x = 10,153.11

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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.