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Finding the Fourth Proportional to 23,809, 32,856.24 and 13,736.56

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Solution

The fourth proportional to 23,809, 32,856.24 and 13,736.56 is: 18,956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809 : 32,856.24 = 13,736.56 : x
  2. Step 2: Convert to fraction form
    23,809/32,856.24 = 13,736.56/x
  3. Step 3: Cross multiply
    23,809x = 32,856.24 × 13,736.56
  4. Step 4: Simplify right side
    23,809x = 451,331,712.13
  5. Step 5: Solve for x
    x = 451,331,712.13/23,809
  6. Step 6: Final answer
    x = 18,956.35

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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.