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Finding the Fourth Proportional to 23,817.66, 32,866.00 and 13,749.35

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Solution

The fourth proportional to 23,817.66, 32,866.00 and 13,749.35 is: 18,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.66 : 32,866.00 = 13,749.35 : x
  2. Step 2: Convert to fraction form
    23,817.66/32,866.00 = 13,749.35/x
  3. Step 3: Cross multiply
    23,817.66x = 32,866.00 × 13,749.35
  4. Step 4: Simplify right side
    23,817.66x = 451,886,015.74
  5. Step 5: Solve for x
    x = 451,886,015.74/23,817.66
  6. Step 6: Final answer
    x = 18,972.73

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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.