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Finding the Fourth Proportional to 24,953.21, 37,429.33 and 8,314.46

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Solution

The fourth proportional to 24,953.21, 37,429.33 and 8,314.46 is: 12,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,953.21 : 37,429.33 = 8,314.46 : x
  2. Step 2: Convert to fraction form
    24,953.21/37,429.33 = 8,314.46/x
  3. Step 3: Cross multiply
    24,953.21x = 37,429.33 × 8,314.46
  4. Step 4: Simplify right side
    24,953.21x = 311,204,667.11
  5. Step 5: Solve for x
    x = 311,204,667.11/24,953.21
  6. Step 6: Final answer
    x = 12,471.53

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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.