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Finding the Fourth Proportional to 24,776.57, 37,164.87 and 7,246.42

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Solution

The fourth proportional to 24,776.57, 37,164.87 and 7,246.42 is: 10,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.57 : 37,164.87 = 7,246.42 : x
  2. Step 2: Convert to fraction form
    24,776.57/37,164.87 = 7,246.42/x
  3. Step 3: Cross multiply
    24,776.57x = 37,164.87 × 7,246.42
  4. Step 4: Simplify right side
    24,776.57x = 269,312,257.27
  5. Step 5: Solve for x
    x = 269,312,257.27/24,776.57
  6. Step 6: Final answer
    x = 10,869.63

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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.