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Finding the Fourth Proportional to 22,053.76, 33,080.94 and 6,471.70

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Solution

The fourth proportional to 22,053.76, 33,080.94 and 6,471.70 is: 9,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,053.76 : 33,080.94 = 6,471.70 : x
  2. Step 2: Convert to fraction form
    22,053.76/33,080.94 = 6,471.70/x
  3. Step 3: Cross multiply
    22,053.76x = 33,080.94 × 6,471.70
  4. Step 4: Simplify right side
    22,053.76x = 214,089,919.40
  5. Step 5: Solve for x
    x = 214,089,919.40/22,053.76
  6. Step 6: Final answer
    x = 9,707.64

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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.