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Finding the Fourth Proportional to 17,696.72, 24,420.12 and 10,142.96

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Solution

The fourth proportional to 17,696.72, 24,420.12 and 10,142.96 is: 13,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.72 : 24,420.12 = 10,142.96 : x
  2. Step 2: Convert to fraction form
    17,696.72/24,420.12 = 10,142.96/x
  3. Step 3: Cross multiply
    17,696.72x = 24,420.12 × 10,142.96
  4. Step 4: Simplify right side
    17,696.72x = 247,692,300.36
  5. Step 5: Solve for x
    x = 247,692,300.36/17,696.72
  6. Step 6: Final answer
    x = 13,996.51

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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.