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Finding the Fourth Proportional to 26,224.85, 36,189 and 14,287.47

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Solution

The fourth proportional to 26,224.85, 36,189 and 14,287.47 is: 19,716.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,224.85 : 36,189 = 14,287.47 : x
  2. Step 2: Convert to fraction form
    26,224.85/36,189 = 14,287.47/x
  3. Step 3: Cross multiply
    26,224.85x = 36,189 × 14,287.47
  4. Step 4: Simplify right side
    26,224.85x = 517,049,251.83
  5. Step 5: Solve for x
    x = 517,049,251.83/26,224.85
  6. Step 6: Final answer
    x = 19,716.00

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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.