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Finding the Fourth Proportional to 24,101.37, 36,142.34 and 7,457.49

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Solution

The fourth proportional to 24,101.37, 36,142.34 and 7,457.49 is: 11,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101.37 : 36,142.34 = 7,457.49 : x
  2. Step 2: Convert to fraction form
    24,101.37/36,142.34 = 7,457.49/x
  3. Step 3: Cross multiply
    24,101.37x = 36,142.34 × 7,457.49
  4. Step 4: Simplify right side
    24,101.37x = 269,531,101.84
  5. Step 5: Solve for x
    x = 269,531,101.84/24,101.37
  6. Step 6: Final answer
    x = 11,183.23

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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.