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Finding the Fourth Proportional to 26,214.08, 36,175.36 and 15,036

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Solution

The fourth proportional to 26,214.08, 36,175.36 and 15,036 is: 20,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,214.08 : 36,175.36 = 15,036 : x
  2. Step 2: Convert to fraction form
    26,214.08/36,175.36 = 15,036/x
  3. Step 3: Cross multiply
    26,214.08x = 36,175.36 × 15,036
  4. Step 4: Simplify right side
    26,214.08x = 543,932,712.96
  5. Step 5: Solve for x
    x = 543,932,712.96/26,214.08
  6. Step 6: Final answer
    x = 20,749.64

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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.