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Finding the Fourth Proportional to 13,825.92, 19,079.36 and 7,858.24

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Solution

The fourth proportional to 13,825.92, 19,079.36 and 7,858.24 is: 10,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.92 : 19,079.36 = 7,858.24 : x
  2. Step 2: Convert to fraction form
    13,825.92/19,079.36 = 7,858.24/x
  3. Step 3: Cross multiply
    13,825.92x = 19,079.36 × 7,858.24
  4. Step 4: Simplify right side
    13,825.92x = 149,930,189.93
  5. Step 5: Solve for x
    x = 149,930,189.93/13,825.92
  6. Step 6: Final answer
    x = 10,844.14

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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.