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Finding the Fourth Proportional to 26,025.96, 35,878.50 and 18,561

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Solution

The fourth proportional to 26,025.96, 35,878.50 and 18,561 is: 25,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,025.96 : 35,878.50 = 18,561 : x
  2. Step 2: Convert to fraction form
    26,025.96/35,878.50 = 18,561/x
  3. Step 3: Cross multiply
    26,025.96x = 35,878.50 × 18,561
  4. Step 4: Simplify right side
    26,025.96x = 665,940,838.50
  5. Step 5: Solve for x
    x = 665,940,838.50/26,025.96
  6. Step 6: Final answer
    x = 25,587.56

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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.