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Finding the Fourth Proportional to 24,629.92, 33,991 and 14,019.54

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Solution

The fourth proportional to 24,629.92, 33,991 and 14,019.54 is: 19,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,629.92 : 33,991 = 14,019.54 : x
  2. Step 2: Convert to fraction form
    24,629.92/33,991 = 14,019.54/x
  3. Step 3: Cross multiply
    24,629.92x = 33,991 × 14,019.54
  4. Step 4: Simplify right side
    24,629.92x = 476,538,184.14
  5. Step 5: Solve for x
    x = 476,538,184.14/24,629.92
  6. Step 6: Final answer
    x = 19,347.94

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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.