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Finding the Fourth Proportional to 18,536.22, 25,579.86 and 10,578

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Solution

The fourth proportional to 18,536.22, 25,579.86 and 10,578 is: 14,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.22 : 25,579.86 = 10,578 : x
  2. Step 2: Convert to fraction form
    18,536.22/25,579.86 = 10,578/x
  3. Step 3: Cross multiply
    18,536.22x = 25,579.86 × 10,578
  4. Step 4: Simplify right side
    18,536.22x = 270,583,759.08
  5. Step 5: Solve for x
    x = 270,583,759.08/18,536.22
  6. Step 6: Final answer
    x = 14,597.57

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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.