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Finding the Fourth Proportional to 30,231.75, 41,722.39 and 16,802.66

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Solution

The fourth proportional to 30,231.75, 41,722.39 and 16,802.66 is: 23,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.75 : 41,722.39 = 16,802.66 : x
  2. Step 2: Convert to fraction form
    30,231.75/41,722.39 = 16,802.66/x
  3. Step 3: Cross multiply
    30,231.75x = 41,722.39 × 16,802.66
  4. Step 4: Simplify right side
    30,231.75x = 701,047,024.18
  5. Step 5: Solve for x
    x = 701,047,024.18/30,231.75
  6. Step 6: Final answer
    x = 23,189.10

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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.