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Finding the Fourth Proportional to 22,876.78, 31,568.50 and 12,803.53

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Solution

The fourth proportional to 22,876.78, 31,568.50 and 12,803.53 is: 17,668.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.78 : 31,568.50 = 12,803.53 : x
  2. Step 2: Convert to fraction form
    22,876.78/31,568.50 = 12,803.53/x
  3. Step 3: Cross multiply
    22,876.78x = 31,568.50 × 12,803.53
  4. Step 4: Simplify right side
    22,876.78x = 404,188,014.94
  5. Step 5: Solve for x
    x = 404,188,014.94/22,876.78
  6. Step 6: Final answer
    x = 17,668.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.