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Finding the Fourth Proportional to 17,536, 24,199.68 and 10,084.48

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Solution

The fourth proportional to 17,536, 24,199.68 and 10,084.48 is: 13,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536 : 24,199.68 = 10,084.48 : x
  2. Step 2: Convert to fraction form
    17,536/24,199.68 = 10,084.48/x
  3. Step 3: Cross multiply
    17,536x = 24,199.68 × 10,084.48
  4. Step 4: Simplify right side
    17,536x = 244,041,188.97
  5. Step 5: Solve for x
    x = 244,041,188.97/17,536
  6. Step 6: Final answer
    x = 13,916.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.