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Finding the Fourth Proportional to 22,470.74, 33,703.17 and 6,675.46

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Solution

The fourth proportional to 22,470.74, 33,703.17 and 6,675.46 is: 10,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.74 : 33,703.17 = 6,675.46 : x
  2. Step 2: Convert to fraction form
    22,470.74/33,703.17 = 6,675.46/x
  3. Step 3: Cross multiply
    22,470.74x = 33,703.17 × 6,675.46
  4. Step 4: Simplify right side
    22,470.74x = 224,984,163.21
  5. Step 5: Solve for x
    x = 224,984,163.21/22,470.74
  6. Step 6: Final answer
    x = 10,012.32

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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.