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Finding the Fourth Proportional to 16,841, 23,241.06 and 9,389.48

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Solution

The fourth proportional to 16,841, 23,241.06 and 9,389.48 is: 12,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,841 : 23,241.06 = 9,389.48 : x
  2. Step 2: Convert to fraction form
    16,841/23,241.06 = 9,389.48/x
  3. Step 3: Cross multiply
    16,841x = 23,241.06 × 9,389.48
  4. Step 4: Simplify right side
    16,841x = 218,221,468.05
  5. Step 5: Solve for x
    x = 218,221,468.05/16,841
  6. Step 6: Final answer
    x = 12,957.75

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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.