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Finding the Fourth Proportional to 22,597.42, 33,908.70 and 10,116.94

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Solution

The fourth proportional to 22,597.42, 33,908.70 and 10,116.94 is: 15,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.42 : 33,908.70 = 10,116.94 : x
  2. Step 2: Convert to fraction form
    22,597.42/33,908.70 = 10,116.94/x
  3. Step 3: Cross multiply
    22,597.42x = 33,908.70 × 10,116.94
  4. Step 4: Simplify right side
    22,597.42x = 343,052,283.38
  5. Step 5: Solve for x
    x = 343,052,283.38/22,597.42
  6. Step 6: Final answer
    x = 15,181.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.