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Finding the Fourth Proportional to 29,827.48, 41,161.94 and 16,398.63

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Solution

The fourth proportional to 29,827.48, 41,161.94 and 16,398.63 is: 22,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.48 : 41,161.94 = 16,398.63 : x
  2. Step 2: Convert to fraction form
    29,827.48/41,161.94 = 16,398.63/x
  3. Step 3: Cross multiply
    29,827.48x = 41,161.94 × 16,398.63
  4. Step 4: Simplify right side
    29,827.48x = 674,999,424.14
  5. Step 5: Solve for x
    x = 674,999,424.14/29,827.48
  6. Step 6: Final answer
    x = 22,630.12

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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.