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Finding the Fourth Proportional to 17,917.34, 26,887.72 and 6,824.14

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Solution

The fourth proportional to 17,917.34, 26,887.72 and 6,824.14 is: 10,240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,917.34 : 26,887.72 = 6,824.14 : x
  2. Step 2: Convert to fraction form
    17,917.34/26,887.72 = 6,824.14/x
  3. Step 3: Cross multiply
    17,917.34x = 26,887.72 × 6,824.14
  4. Step 4: Simplify right side
    17,917.34x = 183,485,397.00
  5. Step 5: Solve for x
    x = 183,485,397.00/17,917.34
  6. Step 6: Final answer
    x = 10,240.66

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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.