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Finding the Fourth Proportional to 17,857.96, 26,785.54 and 6,763.64

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Solution

The fourth proportional to 17,857.96, 26,785.54 and 6,763.64 is: 10,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.96 : 26,785.54 = 6,763.64 : x
  2. Step 2: Convert to fraction form
    17,857.96/26,785.54 = 6,763.64/x
  3. Step 3: Cross multiply
    17,857.96x = 26,785.54 × 6,763.64
  4. Step 4: Simplify right side
    17,857.96x = 181,167,749.77
  5. Step 5: Solve for x
    x = 181,167,749.77/17,857.96
  6. Step 6: Final answer
    x = 10,144.93

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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.