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Finding the Fourth Proportional to 15,755.27, 21,742.09 and 8,949.24

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Solution

The fourth proportional to 15,755.27, 21,742.09 and 8,949.24 is: 12,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.27 : 21,742.09 = 8,949.24 : x
  2. Step 2: Convert to fraction form
    15,755.27/21,742.09 = 8,949.24/x
  3. Step 3: Cross multiply
    15,755.27x = 21,742.09 × 8,949.24
  4. Step 4: Simplify right side
    15,755.27x = 194,575,181.51
  5. Step 5: Solve for x
    x = 194,575,181.51/15,755.27
  6. Step 6: Final answer
    x = 12,349.85

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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.