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Finding the Fourth Proportional to 16,798.26, 23,184.44 and 9,728.98

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Solution

The fourth proportional to 16,798.26, 23,184.44 and 9,728.98 is: 13,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,798.26 : 23,184.44 = 9,728.98 : x
  2. Step 2: Convert to fraction form
    16,798.26/23,184.44 = 9,728.98/x
  3. Step 3: Cross multiply
    16,798.26x = 23,184.44 × 9,728.98
  4. Step 4: Simplify right side
    16,798.26x = 225,560,953.07
  5. Step 5: Solve for x
    x = 225,560,953.07/16,798.26
  6. Step 6: Final answer
    x = 13,427.64

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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.