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Finding the Fourth Proportional to 13,841, 19,086.90 and 9,062.36

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Solution

The fourth proportional to 13,841, 19,086.90 and 9,062.36 is: 12,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841 : 19,086.90 = 9,062.36 : x
  2. Step 2: Convert to fraction form
    13,841/19,086.90 = 9,062.36/x
  3. Step 3: Cross multiply
    13,841x = 19,086.90 × 9,062.36
  4. Step 4: Simplify right side
    13,841x = 172,972,359.08
  5. Step 5: Solve for x
    x = 172,972,359.08/13,841
  6. Step 6: Final answer
    x = 12,497.10

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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.