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Finding the Fourth Proportional to 17,825.96, 26,748.16 and 7,837.72

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Solution

The fourth proportional to 17,825.96, 26,748.16 and 7,837.72 is: 11,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.96 : 26,748.16 = 7,837.72 : x
  2. Step 2: Convert to fraction form
    17,825.96/26,748.16 = 7,837.72/x
  3. Step 3: Cross multiply
    17,825.96x = 26,748.16 × 7,837.72
  4. Step 4: Simplify right side
    17,825.96x = 209,644,588.60
  5. Step 5: Solve for x
    x = 209,644,588.60/17,825.96
  6. Step 6: Final answer
    x = 11,760.63

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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.