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Finding the Fourth Proportional to 26,810.96, 36,998.84 and 14,874

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Solution

The fourth proportional to 26,810.96, 36,998.84 and 14,874 is: 20,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,810.96 : 36,998.84 = 14,874 : x
  2. Step 2: Convert to fraction form
    26,810.96/36,998.84 = 14,874/x
  3. Step 3: Cross multiply
    26,810.96x = 36,998.84 × 14,874
  4. Step 4: Simplify right side
    26,810.96x = 550,320,746.16
  5. Step 5: Solve for x
    x = 550,320,746.16/26,810.96
  6. Step 6: Final answer
    x = 20,525.96

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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.