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Finding the Fourth Proportional to 24,892.70, 37,324.65 and 9,311.90

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Solution

The fourth proportional to 24,892.70, 37,324.65 and 9,311.90 is: 13,962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.70 : 37,324.65 = 9,311.90 : x
  2. Step 2: Convert to fraction form
    24,892.70/37,324.65 = 9,311.90/x
  3. Step 3: Cross multiply
    24,892.70x = 37,324.65 × 9,311.90
  4. Step 4: Simplify right side
    24,892.70x = 347,563,408.34
  5. Step 5: Solve for x
    x = 347,563,408.34/24,892.70
  6. Step 6: Final answer
    x = 13,962.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.