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Finding the Fourth Proportional to 13,827.87, 19,081.71 and 7,858.71

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Solution

The fourth proportional to 13,827.87, 19,081.71 and 7,858.71 is: 10,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.87 : 19,081.71 = 7,858.71 : x
  2. Step 2: Convert to fraction form
    13,827.87/19,081.71 = 7,858.71/x
  3. Step 3: Cross multiply
    13,827.87x = 19,081.71 × 7,858.71
  4. Step 4: Simplify right side
    13,827.87x = 149,957,625.19
  5. Step 5: Solve for x
    x = 149,957,625.19/13,827.87
  6. Step 6: Final answer
    x = 10,844.59

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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.