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Finding the Fourth Proportional to 22,517.25, 31,075.64 and 13,087.64

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Solution

The fourth proportional to 22,517.25, 31,075.64 and 13,087.64 is: 18,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.25 : 31,075.64 = 13,087.64 : x
  2. Step 2: Convert to fraction form
    22,517.25/31,075.64 = 13,087.64/x
  3. Step 3: Cross multiply
    22,517.25x = 31,075.64 × 13,087.64
  4. Step 4: Simplify right side
    22,517.25x = 406,706,568.27
  5. Step 5: Solve for x
    x = 406,706,568.27/22,517.25
  6. Step 6: Final answer
    x = 18,062.00

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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.