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Finding the Fourth Proportional to 17,824.22, 24,597.13 and 9,866.28

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Solution

The fourth proportional to 17,824.22, 24,597.13 and 9,866.28 is: 13,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.22 : 24,597.13 = 9,866.28 : x
  2. Step 2: Convert to fraction form
    17,824.22/24,597.13 = 9,866.28/x
  3. Step 3: Cross multiply
    17,824.22x = 24,597.13 × 9,866.28
  4. Step 4: Simplify right side
    17,824.22x = 242,682,073.37
  5. Step 5: Solve for x
    x = 242,682,073.37/17,824.22
  6. Step 6: Final answer
    x = 13,615.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.