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Finding the Fourth Proportional to 17,281.04, 23,829 and 11,682.32

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Solution

The fourth proportional to 17,281.04, 23,829 and 11,682.32 is: 16,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.04 : 23,829 = 11,682.32 : x
  2. Step 2: Convert to fraction form
    17,281.04/23,829 = 11,682.32/x
  3. Step 3: Cross multiply
    17,281.04x = 23,829 × 11,682.32
  4. Step 4: Simplify right side
    17,281.04x = 278,378,003.28
  5. Step 5: Solve for x
    x = 278,378,003.28/17,281.04
  6. Step 6: Final answer
    x = 16,108.87

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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.