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Finding the Fourth Proportional to 17,927.13, 24,738.73 and 9,968.78

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Solution

The fourth proportional to 17,927.13, 24,738.73 and 9,968.78 is: 13,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.13 : 24,738.73 = 9,968.78 : x
  2. Step 2: Convert to fraction form
    17,927.13/24,738.73 = 9,968.78/x
  3. Step 3: Cross multiply
    17,927.13x = 24,738.73 × 9,968.78
  4. Step 4: Simplify right side
    17,927.13x = 246,614,956.85
  5. Step 5: Solve for x
    x = 246,614,956.85/17,927.13
  6. Step 6: Final answer
    x = 13,756.52

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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.