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Finding the Fourth Proportional to 26,420.90, 39,633.82 and 9,558.14

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Solution

The fourth proportional to 26,420.90, 39,633.82 and 9,558.14 is: 14,338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,420.90 : 39,633.82 = 9,558.14 : x
  2. Step 2: Convert to fraction form
    26,420.90/39,633.82 = 9,558.14/x
  3. Step 3: Cross multiply
    26,420.90x = 39,633.82 × 9,558.14
  4. Step 4: Simplify right side
    26,420.90x = 378,825,600.29
  5. Step 5: Solve for x
    x = 378,825,600.29/26,420.90
  6. Step 6: Final answer
    x = 14,338.10

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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.