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Finding the Fourth Proportional to 26,602.47, 39,903.84 and 7,882.92

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Solution

The fourth proportional to 26,602.47, 39,903.84 and 7,882.92 is: 11,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.47 : 39,903.84 = 7,882.92 : x
  2. Step 2: Convert to fraction form
    26,602.47/39,903.84 = 7,882.92/x
  3. Step 3: Cross multiply
    26,602.47x = 39,903.84 × 7,882.92
  4. Step 4: Simplify right side
    26,602.47x = 314,558,778.41
  5. Step 5: Solve for x
    x = 314,558,778.41/26,602.47
  6. Step 6: Final answer
    x = 11,824.42

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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.