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Finding the Fourth Proportional to 22,611.86, 31,198 and 17,816.94

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Solution

The fourth proportional to 22,611.86, 31,198 and 17,816.94 is: 24,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611.86 : 31,198 = 17,816.94 : x
  2. Step 2: Convert to fraction form
    22,611.86/31,198 = 17,816.94/x
  3. Step 3: Cross multiply
    22,611.86x = 31,198 × 17,816.94
  4. Step 4: Simplify right side
    22,611.86x = 555,852,894.12
  5. Step 5: Solve for x
    x = 555,852,894.12/22,611.86
  6. Step 6: Final answer
    x = 24,582.36

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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.