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Finding the Fourth Proportional to 24,457.37, 36,672.27 and 7,813.49

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Solution

The fourth proportional to 24,457.37, 36,672.27 and 7,813.49 is: 11,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.37 : 36,672.27 = 7,813.49 : x
  2. Step 2: Convert to fraction form
    24,457.37/36,672.27 = 7,813.49/x
  3. Step 3: Cross multiply
    24,457.37x = 36,672.27 × 7,813.49
  4. Step 4: Simplify right side
    24,457.37x = 286,538,231.56
  5. Step 5: Solve for x
    x = 286,538,231.56/24,457.37
  6. Step 6: Final answer
    x = 11,715.83

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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.