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Finding the Fourth Proportional to 22,816.58, 31,468.78 and 13,863.90

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Solution

The fourth proportional to 22,816.58, 31,468.78 and 13,863.90 is: 19,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.58 : 31,468.78 = 13,863.90 : x
  2. Step 2: Convert to fraction form
    22,816.58/31,468.78 = 13,863.90/x
  3. Step 3: Cross multiply
    22,816.58x = 31,468.78 × 13,863.90
  4. Step 4: Simplify right side
    22,816.58x = 436,280,019.04
  5. Step 5: Solve for x
    x = 436,280,019.04/22,816.58
  6. Step 6: Final answer
    x = 19,121.18

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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.