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Finding the Fourth Proportional to 17,636.90, 24,338.07 and 10,084.46

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Solution

The fourth proportional to 17,636.90, 24,338.07 and 10,084.46 is: 13,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,636.90 : 24,338.07 = 10,084.46 : x
  2. Step 2: Convert to fraction form
    17,636.90/24,338.07 = 10,084.46/x
  3. Step 3: Cross multiply
    17,636.90x = 24,338.07 × 10,084.46
  4. Step 4: Simplify right side
    17,636.90x = 245,436,171.70
  5. Step 5: Solve for x
    x = 245,436,171.70/17,636.90
  6. Step 6: Final answer
    x = 13,916.06

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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.