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Finding the Fourth Proportional to 15,694.24, 21,657.97 and 8,524.10

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Solution

The fourth proportional to 15,694.24, 21,657.97 and 8,524.10 is: 11,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.24 : 21,657.97 = 8,524.10 : x
  2. Step 2: Convert to fraction form
    15,694.24/21,657.97 = 8,524.10/x
  3. Step 3: Cross multiply
    15,694.24x = 21,657.97 × 8,524.10
  4. Step 4: Simplify right side
    15,694.24x = 184,614,702.08
  5. Step 5: Solve for x
    x = 184,614,702.08/15,694.24
  6. Step 6: Final answer
    x = 11,763.21

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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.