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Finding the Fourth Proportional to 24,814.52, 37,225.04 and 9,230.12

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Solution

The fourth proportional to 24,814.52, 37,225.04 and 9,230.12 is: 13,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.52 : 37,225.04 = 9,230.12 : x
  2. Step 2: Convert to fraction form
    24,814.52/37,225.04 = 9,230.12/x
  3. Step 3: Cross multiply
    24,814.52x = 37,225.04 × 9,230.12
  4. Step 4: Simplify right side
    24,814.52x = 343,591,586.20
  5. Step 5: Solve for x
    x = 343,591,586.20/24,814.52
  6. Step 6: Final answer
    x = 13,846.39

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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.