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Finding the Fourth Proportional to 16,538.68, 22,817.64 and 10,573.84

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Solution

The fourth proportional to 16,538.68, 22,817.64 and 10,573.84 is: 14,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.68 : 22,817.64 = 10,573.84 : x
  2. Step 2: Convert to fraction form
    16,538.68/22,817.64 = 10,573.84/x
  3. Step 3: Cross multiply
    16,538.68x = 22,817.64 × 10,573.84
  4. Step 4: Simplify right side
    16,538.68x = 241,270,074.54
  5. Step 5: Solve for x
    x = 241,270,074.54/16,538.68
  6. Step 6: Final answer
    x = 14,588.23

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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.