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Finding the Fourth Proportional to 22,251.46, 33,370.29 and 6,457.65

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Solution

The fourth proportional to 22,251.46, 33,370.29 and 6,457.65 is: 9,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251.46 : 33,370.29 = 6,457.65 : x
  2. Step 2: Convert to fraction form
    22,251.46/33,370.29 = 6,457.65/x
  3. Step 3: Cross multiply
    22,251.46x = 33,370.29 × 6,457.65
  4. Step 4: Simplify right side
    22,251.46x = 215,493,653.22
  5. Step 5: Solve for x
    x = 215,493,653.22/22,251.46
  6. Step 6: Final answer
    x = 9,684.47

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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.