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Finding the Fourth Proportional to 15,914.71, 23,878.82 and 8,517.25

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Solution

The fourth proportional to 15,914.71, 23,878.82 and 8,517.25 is: 12,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.71 : 23,878.82 = 8,517.25 : x
  2. Step 2: Convert to fraction form
    15,914.71/23,878.82 = 8,517.25/x
  3. Step 3: Cross multiply
    15,914.71x = 23,878.82 × 8,517.25
  4. Step 4: Simplify right side
    15,914.71x = 203,381,837.06
  5. Step 5: Solve for x
    x = 203,381,837.06/15,914.71
  6. Step 6: Final answer
    x = 12,779.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.