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Finding the Fourth Proportional to 22,172.18, 30,597.89 and 13,097.84

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Solution

The fourth proportional to 22,172.18, 30,597.89 and 13,097.84 is: 18,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,172.18 : 30,597.89 = 13,097.84 : x
  2. Step 2: Convert to fraction form
    22,172.18/30,597.89 = 13,097.84/x
  3. Step 3: Cross multiply
    22,172.18x = 30,597.89 × 13,097.84
  4. Step 4: Simplify right side
    22,172.18x = 400,766,049.08
  5. Step 5: Solve for x
    x = 400,766,049.08/22,172.18
  6. Step 6: Final answer
    x = 18,075.18

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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.