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Finding the Fourth Proportional to 22,649.10, 31,250.72 and 13,696.41

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Solution

The fourth proportional to 22,649.10, 31,250.72 and 13,696.41 is: 18,898.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.10 : 31,250.72 = 13,696.41 : x
  2. Step 2: Convert to fraction form
    22,649.10/31,250.72 = 13,696.41/x
  3. Step 3: Cross multiply
    22,649.10x = 31,250.72 × 13,696.41
  4. Step 4: Simplify right side
    22,649.10x = 428,022,611.04
  5. Step 5: Solve for x
    x = 428,022,611.04/22,649.10
  6. Step 6: Final answer
    x = 18,898.00

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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.