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Finding the Fourth Proportional to 15,755.24, 21,742.24 and 8,585.12

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Solution

The fourth proportional to 15,755.24, 21,742.24 and 8,585.12 is: 11,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,755.24 : 21,742.24 = 8,585.12 : x
  2. Step 2: Convert to fraction form
    15,755.24/21,742.24 = 8,585.12/x
  3. Step 3: Cross multiply
    15,755.24x = 21,742.24 × 8,585.12
  4. Step 4: Simplify right side
    15,755.24x = 186,659,739.47
  5. Step 5: Solve for x
    x = 186,659,739.47/15,755.24
  6. Step 6: Final answer
    x = 11,847.47

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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.