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Finding the Fourth Proportional to 24,457.24, 36,672.09 and 7,813.36

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Solution

The fourth proportional to 24,457.24, 36,672.09 and 7,813.36 is: 11,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.24 : 36,672.09 = 7,813.36 : x
  2. Step 2: Convert to fraction form
    24,457.24/36,672.09 = 7,813.36/x
  3. Step 3: Cross multiply
    24,457.24x = 36,672.09 × 7,813.36
  4. Step 4: Simplify right side
    24,457.24x = 286,532,241.12
  5. Step 5: Solve for x
    x = 286,532,241.12/24,457.24
  6. Step 6: Final answer
    x = 11,715.64

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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.