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Finding the Fourth Proportional to 37,338.14, 55,986.50 and 14,826

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Solution

The fourth proportional to 37,338.14, 55,986.50 and 14,826 is: 22,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,338.14 : 55,986.50 = 14,826 : x
  2. Step 2: Convert to fraction form
    37,338.14/55,986.50 = 14,826/x
  3. Step 3: Cross multiply
    37,338.14x = 55,986.50 × 14,826
  4. Step 4: Simplify right side
    37,338.14x = 830,055,849
  5. Step 5: Solve for x
    x = 830,055,849/37,338.14
  6. Step 6: Final answer
    x = 22,230.78

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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.