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Finding the Fourth Proportional to 29,809.64, 41,137.27 and 16,381.74

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Solution

The fourth proportional to 29,809.64, 41,137.27 and 16,381.74 is: 22,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809.64 : 41,137.27 = 16,381.74 : x
  2. Step 2: Convert to fraction form
    29,809.64/41,137.27 = 16,381.74/x
  3. Step 3: Cross multiply
    29,809.64x = 41,137.27 × 16,381.74
  4. Step 4: Simplify right side
    29,809.64x = 673,900,174.76
  5. Step 5: Solve for x
    x = 673,900,174.76/29,809.64
  6. Step 6: Final answer
    x = 22,606.79

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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.