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Finding the Fourth Proportional to 25,093.86, 37,631.23 and 8,222.98

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Solution

The fourth proportional to 25,093.86, 37,631.23 and 8,222.98 is: 12,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,093.86 : 37,631.23 = 8,222.98 : x
  2. Step 2: Convert to fraction form
    25,093.86/37,631.23 = 8,222.98/x
  3. Step 3: Cross multiply
    25,093.86x = 37,631.23 × 8,222.98
  4. Step 4: Simplify right side
    25,093.86x = 309,440,851.67
  5. Step 5: Solve for x
    x = 309,440,851.67/25,093.86
  6. Step 6: Final answer
    x = 12,331.34

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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.