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Finding the Fourth Proportional to 17,717.32, 26,560.89 and 7,851.22

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Solution

The fourth proportional to 17,717.32, 26,560.89 and 7,851.22 is: 11,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717.32 : 26,560.89 = 7,851.22 : x
  2. Step 2: Convert to fraction form
    17,717.32/26,560.89 = 7,851.22/x
  3. Step 3: Cross multiply
    17,717.32x = 26,560.89 × 7,851.22
  4. Step 4: Simplify right side
    17,717.32x = 208,535,390.79
  5. Step 5: Solve for x
    x = 208,535,390.79/17,717.32
  6. Step 6: Final answer
    x = 11,770.14

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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.