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Finding the Fourth Proportional to 13,468.36, 18,586.26 and 7,879.24

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Solution

The fourth proportional to 13,468.36, 18,586.26 and 7,879.24 is: 10,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.36 : 18,586.26 = 7,879.24 : x
  2. Step 2: Convert to fraction form
    13,468.36/18,586.26 = 7,879.24/x
  3. Step 3: Cross multiply
    13,468.36x = 18,586.26 × 7,879.24
  4. Step 4: Simplify right side
    13,468.36x = 146,445,603.24
  5. Step 5: Solve for x
    x = 146,445,603.24/13,468.36
  6. Step 6: Final answer
    x = 10,873.31

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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.