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Finding the Fourth Proportional to 13,832.70, 19,090.26 and 7,866.24

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Solution

The fourth proportional to 13,832.70, 19,090.26 and 7,866.24 is: 10,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.70 : 19,090.26 = 7,866.24 : x
  2. Step 2: Convert to fraction form
    13,832.70/19,090.26 = 7,866.24/x
  3. Step 3: Cross multiply
    13,832.70x = 19,090.26 × 7,866.24
  4. Step 4: Simplify right side
    13,832.70x = 150,168,566.82
  5. Step 5: Solve for x
    x = 150,168,566.82/13,832.70
  6. Step 6: Final answer
    x = 10,856.06

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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.