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Finding the Fourth Proportional to 22,050.72, 33,056.64 and 8,190

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Solution

The fourth proportional to 22,050.72, 33,056.64 and 8,190 is: 12,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,050.72 : 33,056.64 = 8,190 : x
  2. Step 2: Convert to fraction form
    22,050.72/33,056.64 = 8,190/x
  3. Step 3: Cross multiply
    22,050.72x = 33,056.64 × 8,190
  4. Step 4: Simplify right side
    22,050.72x = 270,733,881.60
  5. Step 5: Solve for x
    x = 270,733,881.60/22,050.72
  6. Step 6: Final answer
    x = 12,277.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.