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Finding the Fourth Proportional to 17,188.70, 23,719.16 and 9,634.97

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Solution

The fourth proportional to 17,188.70, 23,719.16 and 9,634.97 is: 13,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,188.70 : 23,719.16 = 9,634.97 : x
  2. Step 2: Convert to fraction form
    17,188.70/23,719.16 = 9,634.97/x
  3. Step 3: Cross multiply
    17,188.70x = 23,719.16 × 9,634.97
  4. Step 4: Simplify right side
    17,188.70x = 228,533,478.41
  5. Step 5: Solve for x
    x = 228,533,478.41/17,188.70
  6. Step 6: Final answer
    x = 13,295.57

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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.