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Finding the Fourth Proportional to 29,812.98, 41,141.08 and 16,384.24

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Solution

The fourth proportional to 29,812.98, 41,141.08 and 16,384.24 is: 22,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,812.98 : 41,141.08 = 16,384.24 : x
  2. Step 2: Convert to fraction form
    29,812.98/41,141.08 = 16,384.24/x
  3. Step 3: Cross multiply
    29,812.98x = 41,141.08 × 16,384.24
  4. Step 4: Simplify right side
    29,812.98x = 674,065,328.58
  5. Step 5: Solve for x
    x = 674,065,328.58/29,812.98
  6. Step 6: Final answer
    x = 22,609.79

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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.