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Finding the Fourth Proportional to 24,758.80, 37,141.50 and 7,228.37

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Solution

The fourth proportional to 24,758.80, 37,141.50 and 7,228.37 is: 10,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.80 : 37,141.50 = 7,228.37 : x
  2. Step 2: Convert to fraction form
    24,758.80/37,141.50 = 7,228.37/x
  3. Step 3: Cross multiply
    24,758.80x = 37,141.50 × 7,228.37
  4. Step 4: Simplify right side
    24,758.80x = 268,472,624.32
  5. Step 5: Solve for x
    x = 268,472,624.32/24,758.80
  6. Step 6: Final answer
    x = 10,843.52

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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.