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Finding the Fourth Proportional to 16,525.28, 22,804.94 and 9,814.26

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Solution

The fourth proportional to 16,525.28, 22,804.94 and 9,814.26 is: 13,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.28 : 22,804.94 = 9,814.26 : x
  2. Step 2: Convert to fraction form
    16,525.28/22,804.94 = 9,814.26/x
  3. Step 3: Cross multiply
    16,525.28x = 22,804.94 × 9,814.26
  4. Step 4: Simplify right side
    16,525.28x = 223,813,610.44
  5. Step 5: Solve for x
    x = 223,813,610.44/16,525.28
  6. Step 6: Final answer
    x = 13,543.71

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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.