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Finding the Fourth Proportional to 13,712.24, 18,922.80 and 7,743.86

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Solution

The fourth proportional to 13,712.24, 18,922.80 and 7,743.86 is: 10,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.24 : 18,922.80 = 7,743.86 : x
  2. Step 2: Convert to fraction form
    13,712.24/18,922.80 = 7,743.86/x
  3. Step 3: Cross multiply
    13,712.24x = 18,922.80 × 7,743.86
  4. Step 4: Simplify right side
    13,712.24x = 146,535,514.01
  5. Step 5: Solve for x
    x = 146,535,514.01/13,712.24
  6. Step 6: Final answer
    x = 10,686.48

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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.