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Finding the Fourth Proportional to 26,976.13, 40,471.02 and 9,445.50

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Solution

The fourth proportional to 26,976.13, 40,471.02 and 9,445.50 is: 14,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,976.13 : 40,471.02 = 9,445.50 : x
  2. Step 2: Convert to fraction form
    26,976.13/40,471.02 = 9,445.50/x
  3. Step 3: Cross multiply
    26,976.13x = 40,471.02 × 9,445.50
  4. Step 4: Simplify right side
    26,976.13x = 382,269,019.41
  5. Step 5: Solve for x
    x = 382,269,019.41/26,976.13
  6. Step 6: Final answer
    x = 14,170.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.