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Finding the Fourth Proportional to 26,602.60, 39,896.70 and 7,882.60

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Solution

The fourth proportional to 26,602.60, 39,896.70 and 7,882.60 is: 11,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.60 : 39,896.70 = 7,882.60 : x
  2. Step 2: Convert to fraction form
    26,602.60/39,896.70 = 7,882.60/x
  3. Step 3: Cross multiply
    26,602.60x = 39,896.70 × 7,882.60
  4. Step 4: Simplify right side
    26,602.60x = 314,489,727.42
  5. Step 5: Solve for x
    x = 314,489,727.42/26,602.60
  6. Step 6: Final answer
    x = 11,821.77

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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.