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Finding the Fourth Proportional to 17,188.75, 23,721.92 and 9,634.96

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Solution

The fourth proportional to 17,188.75, 23,721.92 and 9,634.96 is: 13,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,188.75 : 23,721.92 = 9,634.96 : x
  2. Step 2: Convert to fraction form
    17,188.75/23,721.92 = 9,634.96/x
  3. Step 3: Cross multiply
    17,188.75x = 23,721.92 × 9,634.96
  4. Step 4: Simplify right side
    17,188.75x = 228,559,631.71
  5. Step 5: Solve for x
    x = 228,559,631.71/17,188.75
  6. Step 6: Final answer
    x = 13,297.05

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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.