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Finding the Fourth Proportional to 22,649.77, 31,255.62 and 12,578.84

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Solution

The fourth proportional to 22,649.77, 31,255.62 and 12,578.84 is: 17,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.77 : 31,255.62 = 12,578.84 : x
  2. Step 2: Convert to fraction form
    22,649.77/31,255.62 = 12,578.84/x
  3. Step 3: Cross multiply
    22,649.77x = 31,255.62 × 12,578.84
  4. Step 4: Simplify right side
    22,649.77x = 393,159,443.08
  5. Step 5: Solve for x
    x = 393,159,443.08/22,649.77
  6. Step 6: Final answer
    x = 17,358.21

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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.