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Finding the Fourth Proportional to 24,680.70, 34,072.11 and 17,140.14

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Solution

The fourth proportional to 24,680.70, 34,072.11 and 17,140.14 is: 23,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,680.70 : 34,072.11 = 17,140.14 : x
  2. Step 2: Convert to fraction form
    24,680.70/34,072.11 = 17,140.14/x
  3. Step 3: Cross multiply
    24,680.70x = 34,072.11 × 17,140.14
  4. Step 4: Simplify right side
    24,680.70x = 584,000,735.50
  5. Step 5: Solve for x
    x = 584,000,735.50/24,680.70
  6. Step 6: Final answer
    x = 23,662.24

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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.