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Finding the Fourth Proportional to 25,936.76, 38,896.98 and 8,402.52

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Solution

The fourth proportional to 25,936.76, 38,896.98 and 8,402.52 is: 12,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,936.76 : 38,896.98 = 8,402.52 : x
  2. Step 2: Convert to fraction form
    25,936.76/38,896.98 = 8,402.52/x
  3. Step 3: Cross multiply
    25,936.76x = 38,896.98 × 8,402.52
  4. Step 4: Simplify right side
    25,936.76x = 326,832,652.39
  5. Step 5: Solve for x
    x = 326,832,652.39/25,936.76
  6. Step 6: Final answer
    x = 12,601.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.