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Finding the Fourth Proportional to 26,219.94, 39,326.85 and 7,750.50

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Solution

The fourth proportional to 26,219.94, 39,326.85 and 7,750.50 is: 11,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,219.94 : 39,326.85 = 7,750.50 : x
  2. Step 2: Convert to fraction form
    26,219.94/39,326.85 = 7,750.50/x
  3. Step 3: Cross multiply
    26,219.94x = 39,326.85 × 7,750.50
  4. Step 4: Simplify right side
    26,219.94x = 304,802,750.93
  5. Step 5: Solve for x
    x = 304,802,750.93/26,219.94
  6. Step 6: Final answer
    x = 11,624.85

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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.