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Finding the Fourth Proportional to 26,471.59, 36,531.21 and 14,536

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Solution

The fourth proportional to 26,471.59, 36,531.21 and 14,536 is: 20,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471.59 : 36,531.21 = 14,536 : x
  2. Step 2: Convert to fraction form
    26,471.59/36,531.21 = 14,536/x
  3. Step 3: Cross multiply
    26,471.59x = 36,531.21 × 14,536
  4. Step 4: Simplify right side
    26,471.59x = 531,017,668.56
  5. Step 5: Solve for x
    x = 531,017,668.56/26,471.59
  6. Step 6: Final answer
    x = 20,059.91

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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.