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Finding the Fourth Proportional to 26,471.43, 36,530.46 and 14,535

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Solution

The fourth proportional to 26,471.43, 36,530.46 and 14,535 is: 20,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471.43 : 36,530.46 = 14,535 : x
  2. Step 2: Convert to fraction form
    26,471.43/36,530.46 = 14,535/x
  3. Step 3: Cross multiply
    26,471.43x = 36,530.46 × 14,535
  4. Step 4: Simplify right side
    26,471.43x = 530,970,236.10
  5. Step 5: Solve for x
    x = 530,970,236.10/26,471.43
  6. Step 6: Final answer
    x = 20,058.24

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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.