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Finding the Fourth Proportional to 30,566.66, 42,183.72 and 17,142.21

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Solution

The fourth proportional to 30,566.66, 42,183.72 and 17,142.21 is: 23,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566.66 : 42,183.72 = 17,142.21 : x
  2. Step 2: Convert to fraction form
    30,566.66/42,183.72 = 17,142.21/x
  3. Step 3: Cross multiply
    30,566.66x = 42,183.72 × 17,142.21
  4. Step 4: Simplify right side
    30,566.66x = 723,122,186.82
  5. Step 5: Solve for x
    x = 723,122,186.82/30,566.66
  6. Step 6: Final answer
    x = 23,657.22

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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.