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Finding the Fourth Proportional to 26,206.16, 36,164.48 and 14,269.48

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Solution

The fourth proportional to 26,206.16, 36,164.48 and 14,269.48 is: 19,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,206.16 : 36,164.48 = 14,269.48 : x
  2. Step 2: Convert to fraction form
    26,206.16/36,164.48 = 14,269.48/x
  3. Step 3: Cross multiply
    26,206.16x = 36,164.48 × 14,269.48
  4. Step 4: Simplify right side
    26,206.16x = 516,048,324.07
  5. Step 5: Solve for x
    x = 516,048,324.07/26,206.16
  6. Step 6: Final answer
    x = 19,691.87

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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.