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Finding the Fourth Proportional to 13,817.16, 19,067.90 and 7,849

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Solution

The fourth proportional to 13,817.16, 19,067.90 and 7,849 is: 10,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.16 : 19,067.90 = 7,849 : x
  2. Step 2: Convert to fraction form
    13,817.16/19,067.90 = 7,849/x
  3. Step 3: Cross multiply
    13,817.16x = 19,067.90 × 7,849
  4. Step 4: Simplify right side
    13,817.16x = 149,663,947.10
  5. Step 5: Solve for x
    x = 149,663,947.10/13,817.16
  6. Step 6: Final answer
    x = 10,831.74

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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.