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Finding the Fourth Proportional to 25,092.60, 37,642.49 and 8,222.00

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Solution

The fourth proportional to 25,092.60, 37,642.49 and 8,222.00 is: 12,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.60 : 37,642.49 = 8,222.00 : x
  2. Step 2: Convert to fraction form
    25,092.60/37,642.49 = 8,222.00/x
  3. Step 3: Cross multiply
    25,092.60x = 37,642.49 × 8,222.00
  4. Step 4: Simplify right side
    25,092.60x = 309,496,605.78
  5. Step 5: Solve for x
    x = 309,496,605.78/25,092.60
  6. Step 6: Final answer
    x = 12,334.18

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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.