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Finding the Fourth Proportional to 17,719.26, 26,553.83 and 9,825.25

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Solution

The fourth proportional to 17,719.26, 26,553.83 and 9,825.25 is: 14,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.26 : 26,553.83 = 9,825.25 : x
  2. Step 2: Convert to fraction form
    17,719.26/26,553.83 = 9,825.25/x
  3. Step 3: Cross multiply
    17,719.26x = 26,553.83 × 9,825.25
  4. Step 4: Simplify right side
    17,719.26x = 260,897,952.49
  5. Step 5: Solve for x
    x = 260,897,952.49/17,719.26
  6. Step 6: Final answer
    x = 14,723.98

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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.