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Finding the Fourth Proportional to 13,807.26, 19,054.89 and 7,836.66

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Solution

The fourth proportional to 13,807.26, 19,054.89 and 7,836.66 is: 10,815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.26 : 19,054.89 = 7,836.66 : x
  2. Step 2: Convert to fraction form
    13,807.26/19,054.89 = 7,836.66/x
  3. Step 3: Cross multiply
    13,807.26x = 19,054.89 × 7,836.66
  4. Step 4: Simplify right side
    13,807.26x = 149,326,694.27
  5. Step 5: Solve for x
    x = 149,326,694.27/13,807.26
  6. Step 6: Final answer
    x = 10,815.09

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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.