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Finding the Fourth Proportional to 17,536, 24,200.40 and 10,084

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Solution

The fourth proportional to 17,536, 24,200.40 and 10,084 is: 13,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536 : 24,200.40 = 10,084 : x
  2. Step 2: Convert to fraction form
    17,536/24,200.40 = 10,084/x
  3. Step 3: Cross multiply
    17,536x = 24,200.40 × 10,084
  4. Step 4: Simplify right side
    17,536x = 244,036,833.60
  5. Step 5: Solve for x
    x = 244,036,833.60/17,536
  6. Step 6: Final answer
    x = 13,916.33

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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.