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Finding the Fourth Proportional to 29,853, 41,194.44 and 16,424.82

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Solution

The fourth proportional to 29,853, 41,194.44 and 16,424.82 is: 22,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853 : 41,194.44 = 16,424.82 : x
  2. Step 2: Convert to fraction form
    29,853/41,194.44 = 16,424.82/x
  3. Step 3: Cross multiply
    29,853x = 41,194.44 × 16,424.82
  4. Step 4: Simplify right side
    29,853x = 676,611,262.00
  5. Step 5: Solve for x
    x = 676,611,262.00/29,853
  6. Step 6: Final answer
    x = 22,664.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.