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Finding the Fourth Proportional to 23,805.36, 32,856.03 and 13,733.46

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Solution

The fourth proportional to 23,805.36, 32,856.03 and 13,733.46 is: 18,954.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.36 : 32,856.03 = 13,733.46 : x
  2. Step 2: Convert to fraction form
    23,805.36/32,856.03 = 13,733.46/x
  3. Step 3: Cross multiply
    23,805.36x = 32,856.03 × 13,733.46
  4. Step 4: Simplify right side
    23,805.36x = 451,226,973.76
  5. Step 5: Solve for x
    x = 451,226,973.76/23,805.36
  6. Step 6: Final answer
    x = 18,954.85

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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.