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Finding the Fourth Proportional to 17,955.84, 24,778.56 and 9,997.68

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Solution

The fourth proportional to 17,955.84, 24,778.56 and 9,997.68 is: 13,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,955.84 : 24,778.56 = 9,997.68 : x
  2. Step 2: Convert to fraction form
    17,955.84/24,778.56 = 9,997.68/x
  3. Step 3: Cross multiply
    17,955.84x = 24,778.56 × 9,997.68
  4. Step 4: Simplify right side
    17,955.84x = 247,728,113.74
  5. Step 5: Solve for x
    x = 247,728,113.74/17,955.84
  6. Step 6: Final answer
    x = 13,796.52

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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.