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Finding the Fourth Proportional to 29,873.67, 41,226.84 and 16,446.18

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Solution

The fourth proportional to 29,873.67, 41,226.84 and 16,446.18 is: 22,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,873.67 : 41,226.84 = 16,446.18 : x
  2. Step 2: Convert to fraction form
    29,873.67/41,226.84 = 16,446.18/x
  3. Step 3: Cross multiply
    29,873.67x = 41,226.84 × 16,446.18
  4. Step 4: Simplify right side
    29,873.67x = 678,024,031.47
  5. Step 5: Solve for x
    x = 678,024,031.47/29,873.67
  6. Step 6: Final answer
    x = 22,696.38

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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.