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Finding the Fourth Proportional to 26,406.48, 39,607.74 and 7,686.66

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Solution

The fourth proportional to 26,406.48, 39,607.74 and 7,686.66 is: 11,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406.48 : 39,607.74 = 7,686.66 : x
  2. Step 2: Convert to fraction form
    26,406.48/39,607.74 = 7,686.66/x
  3. Step 3: Cross multiply
    26,406.48x = 39,607.74 × 7,686.66
  4. Step 4: Simplify right side
    26,406.48x = 304,451,230.75
  5. Step 5: Solve for x
    x = 304,451,230.75/26,406.48
  6. Step 6: Final answer
    x = 11,529.41

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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.