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Finding the Fourth Proportional to 24,048.68, 36,076.97 and 7,408.71

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Solution

The fourth proportional to 24,048.68, 36,076.97 and 7,408.71 is: 11,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048.68 : 36,076.97 = 7,408.71 : x
  2. Step 2: Convert to fraction form
    24,048.68/36,076.97 = 7,408.71/x
  3. Step 3: Cross multiply
    24,048.68x = 36,076.97 × 7,408.71
  4. Step 4: Simplify right side
    24,048.68x = 267,283,771.37
  5. Step 5: Solve for x
    x = 267,283,771.37/24,048.68
  6. Step 6: Final answer
    x = 11,114.28

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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.