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Finding the Fourth Proportional to 17,927.53, 24,739.65 and 9,969.57

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Solution

The fourth proportional to 17,927.53, 24,739.65 and 9,969.57 is: 13,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.53 : 24,739.65 = 9,969.57 : x
  2. Step 2: Convert to fraction form
    17,927.53/24,739.65 = 9,969.57/x
  3. Step 3: Cross multiply
    17,927.53x = 24,739.65 × 9,969.57
  4. Step 4: Simplify right side
    17,927.53x = 246,643,672.45
  5. Step 5: Solve for x
    x = 246,643,672.45/17,927.53
  6. Step 6: Final answer
    x = 13,757.82

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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.