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Finding the Fourth Proportional to 22,083.16, 30,468.36 and 12,649.84

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Solution

The fourth proportional to 22,083.16, 30,468.36 and 12,649.84 is: 17,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083.16 : 30,468.36 = 12,649.84 : x
  2. Step 2: Convert to fraction form
    22,083.16/30,468.36 = 12,649.84/x
  3. Step 3: Cross multiply
    22,083.16x = 30,468.36 × 12,649.84
  4. Step 4: Simplify right side
    22,083.16x = 385,419,879.06
  5. Step 5: Solve for x
    x = 385,419,879.06/22,083.16
  6. Step 6: Final answer
    x = 17,453.11

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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.