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Finding the Fourth Proportional to 29,852.82, 41,196.28 and 16,423.73

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Solution

The fourth proportional to 29,852.82, 41,196.28 and 16,423.73 is: 22,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852.82 : 41,196.28 = 16,423.73 : x
  2. Step 2: Convert to fraction form
    29,852.82/41,196.28 = 16,423.73/x
  3. Step 3: Cross multiply
    29,852.82x = 41,196.28 × 16,423.73
  4. Step 4: Simplify right side
    29,852.82x = 676,596,579.72
  5. Step 5: Solve for x
    x = 676,596,579.72/29,852.82
  6. Step 6: Final answer
    x = 22,664.41

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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.