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Finding the Fourth Proportional to 29,998, 41,397.24 and 16,750

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Solution

The fourth proportional to 29,998, 41,397.24 and 16,750 is: 23,115

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,998 : 41,397.24 = 16,750 : x
  2. Step 2: Convert to fraction form
    29,998/41,397.24 = 16,750/x
  3. Step 3: Cross multiply
    29,998x = 41,397.24 × 16,750
  4. Step 4: Simplify right side
    29,998x = 693,403,770
  5. Step 5: Solve for x
    x = 693,403,770/29,998
  6. Step 6: Final answer
    x = 23,115

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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.