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Finding the Fourth Proportional to 16,963.74, 23,412.15 and 9,513.18

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Solution

The fourth proportional to 16,963.74, 23,412.15 and 9,513.18 is: 13,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.74 : 23,412.15 = 9,513.18 : x
  2. Step 2: Convert to fraction form
    16,963.74/23,412.15 = 9,513.18/x
  3. Step 3: Cross multiply
    16,963.74x = 23,412.15 × 9,513.18
  4. Step 4: Simplify right side
    16,963.74x = 222,723,997.14
  5. Step 5: Solve for x
    x = 222,723,997.14/16,963.74
  6. Step 6: Final answer
    x = 13,129.42

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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.