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Finding the Fourth Proportional to 17,852.26, 24,635.28 and 9,785.86

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Solution

The fourth proportional to 17,852.26, 24,635.28 and 9,785.86 is: 13,504.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.26 : 24,635.28 = 9,785.86 : x
  2. Step 2: Convert to fraction form
    17,852.26/24,635.28 = 9,785.86/x
  3. Step 3: Cross multiply
    17,852.26x = 24,635.28 × 9,785.86
  4. Step 4: Simplify right side
    17,852.26x = 241,077,401.14
  5. Step 5: Solve for x
    x = 241,077,401.14/17,852.26
  6. Step 6: Final answer
    x = 13,504.03

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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.