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Finding the Fourth Proportional to 22,504.97, 31,056.86 and 13,074.14

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Solution

The fourth proportional to 22,504.97, 31,056.86 and 13,074.14 is: 18,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.97 : 31,056.86 = 13,074.14 : x
  2. Step 2: Convert to fraction form
    22,504.97/31,056.86 = 13,074.14/x
  3. Step 3: Cross multiply
    22,504.97x = 31,056.86 × 13,074.14
  4. Step 4: Simplify right side
    22,504.97x = 406,041,735.60
  5. Step 5: Solve for x
    x = 406,041,735.60/22,504.97
  6. Step 6: Final answer
    x = 18,042.31

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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.