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Finding the Fourth Proportional to 16,538.93, 22,817.99 and 10,574.09

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Solution

The fourth proportional to 16,538.93, 22,817.99 and 10,574.09 is: 14,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.93 : 22,817.99 = 10,574.09 : x
  2. Step 2: Convert to fraction form
    16,538.93/22,817.99 = 10,574.09/x
  3. Step 3: Cross multiply
    16,538.93x = 22,817.99 × 10,574.09
  4. Step 4: Simplify right side
    16,538.93x = 241,279,427.01
  5. Step 5: Solve for x
    x = 241,279,427.01/16,538.93
  6. Step 6: Final answer
    x = 14,588.58

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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.