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Finding the Fourth Proportional to 15,084.88, 20,817.61 and 8,371

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Solution

The fourth proportional to 15,084.88, 20,817.61 and 8,371 is: 11,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084.88 : 20,817.61 = 8,371 : x
  2. Step 2: Convert to fraction form
    15,084.88/20,817.61 = 8,371/x
  3. Step 3: Cross multiply
    15,084.88x = 20,817.61 × 8,371
  4. Step 4: Simplify right side
    15,084.88x = 174,264,213.31
  5. Step 5: Solve for x
    x = 174,264,213.31/15,084.88
  6. Step 6: Final answer
    x = 11,552.24

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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.