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Finding the Fourth Proportional to 22,649.56, 31,255.35 and 12,578.64

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Solution

The fourth proportional to 22,649.56, 31,255.35 and 12,578.64 is: 17,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.56 : 31,255.35 = 12,578.64 : x
  2. Step 2: Convert to fraction form
    22,649.56/31,255.35 = 12,578.64/x
  3. Step 3: Cross multiply
    22,649.56x = 31,255.35 × 12,578.64
  4. Step 4: Simplify right side
    22,649.56x = 393,149,795.72
  5. Step 5: Solve for x
    x = 393,149,795.72/22,649.56
  6. Step 6: Final answer
    x = 17,357.94

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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.