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Finding the Fourth Proportional to 22,649.72, 31,255.56 and 12,578.80

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Solution

The fourth proportional to 22,649.72, 31,255.56 and 12,578.80 is: 17,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.72 : 31,255.56 = 12,578.80 : x
  2. Step 2: Convert to fraction form
    22,649.72/31,255.56 = 12,578.80/x
  3. Step 3: Cross multiply
    22,649.72x = 31,255.56 × 12,578.80
  4. Step 4: Simplify right side
    22,649.72x = 393,157,438.13
  5. Step 5: Solve for x
    x = 393,157,438.13/22,649.72
  6. Step 6: Final answer
    x = 17,358.16

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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.