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Finding the Fourth Proportional to 17,233.16, 25,824.96 and 9,822.33

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Solution

The fourth proportional to 17,233.16, 25,824.96 and 9,822.33 is: 14,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233.16 : 25,824.96 = 9,822.33 : x
  2. Step 2: Convert to fraction form
    17,233.16/25,824.96 = 9,822.33/x
  3. Step 3: Cross multiply
    17,233.16x = 25,824.96 × 9,822.33
  4. Step 4: Simplify right side
    17,233.16x = 253,661,279.36
  5. Step 5: Solve for x
    x = 253,661,279.36/17,233.16
  6. Step 6: Final answer
    x = 14,719.38

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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.