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Finding the Fourth Proportional to 24,805.98, 37,187.01 and 9,212.67

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Solution

The fourth proportional to 24,805.98, 37,187.01 and 9,212.67 is: 13,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.98 : 37,187.01 = 9,212.67 : x
  2. Step 2: Convert to fraction form
    24,805.98/37,187.01 = 9,212.67/x
  3. Step 3: Cross multiply
    24,805.98x = 37,187.01 × 9,212.67
  4. Step 4: Simplify right side
    24,805.98x = 342,591,651.42
  5. Step 5: Solve for x
    x = 342,591,651.42/24,805.98
  6. Step 6: Final answer
    x = 13,810.85

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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.