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Finding the Fourth Proportional to 13,825.68, 19,079.94 and 7,857.90

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Solution

The fourth proportional to 13,825.68, 19,079.94 and 7,857.90 is: 10,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.68 : 19,079.94 = 7,857.90 : x
  2. Step 2: Convert to fraction form
    13,825.68/19,079.94 = 7,857.90/x
  3. Step 3: Cross multiply
    13,825.68x = 19,079.94 × 7,857.90
  4. Step 4: Simplify right side
    13,825.68x = 149,928,260.53
  5. Step 5: Solve for x
    x = 149,928,260.53/13,825.68
  6. Step 6: Final answer
    x = 10,844.19

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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.