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Finding the Fourth Proportional to 17,190.80, 23,724.72 and 9,637

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Solution

The fourth proportional to 17,190.80, 23,724.72 and 9,637 is: 13,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,190.80 : 23,724.72 = 9,637 : x
  2. Step 2: Convert to fraction form
    17,190.80/23,724.72 = 9,637/x
  3. Step 3: Cross multiply
    17,190.80x = 23,724.72 × 9,637
  4. Step 4: Simplify right side
    17,190.80x = 228,635,126.64
  5. Step 5: Solve for x
    x = 228,635,126.64/17,190.80
  6. Step 6: Final answer
    x = 13,299.85

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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.