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Finding the Fourth Proportional to 16,513.96, 22,791.90 and 12,742.60

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Solution

The fourth proportional to 16,513.96, 22,791.90 and 12,742.60 is: 17,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.96 : 22,791.90 = 12,742.60 : x
  2. Step 2: Convert to fraction form
    16,513.96/22,791.90 = 12,742.60/x
  3. Step 3: Cross multiply
    16,513.96x = 22,791.90 × 12,742.60
  4. Step 4: Simplify right side
    16,513.96x = 290,428,064.94
  5. Step 5: Solve for x
    x = 290,428,064.94/16,513.96
  6. Step 6: Final answer
    x = 17,586.82

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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.