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Finding the Fourth Proportional to 21,991, 30,349.50 and 12,056.92

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Solution

The fourth proportional to 21,991, 30,349.50 and 12,056.92 is: 16,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991 : 30,349.50 = 12,056.92 : x
  2. Step 2: Convert to fraction form
    21,991/30,349.50 = 12,056.92/x
  3. Step 3: Cross multiply
    21,991x = 30,349.50 × 12,056.92
  4. Step 4: Simplify right side
    21,991x = 365,921,493.54
  5. Step 5: Solve for x
    x = 365,921,493.54/21,991
  6. Step 6: Final answer
    x = 16,639.60

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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.