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Finding the Fourth Proportional to 30,214.65, 41,694.11 and 17,457.83

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Solution

The fourth proportional to 30,214.65, 41,694.11 and 17,457.83 is: 24,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.65 : 41,694.11 = 17,457.83 : x
  2. Step 2: Convert to fraction form
    30,214.65/41,694.11 = 17,457.83/x
  3. Step 3: Cross multiply
    30,214.65x = 41,694.11 × 17,457.83
  4. Step 4: Simplify right side
    30,214.65x = 727,888,388.62
  5. Step 5: Solve for x
    x = 727,888,388.62/30,214.65
  6. Step 6: Final answer
    x = 24,090.58

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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.