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Finding the Fourth Proportional to 29,861.74, 41,210.29 and 16,434.01

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Solution

The fourth proportional to 29,861.74, 41,210.29 and 16,434.01 is: 22,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,861.74 : 41,210.29 = 16,434.01 : x
  2. Step 2: Convert to fraction form
    29,861.74/41,210.29 = 16,434.01/x
  3. Step 3: Cross multiply
    29,861.74x = 41,210.29 × 16,434.01
  4. Step 4: Simplify right side
    29,861.74x = 677,250,552.14
  5. Step 5: Solve for x
    x = 677,250,552.14/29,861.74
  6. Step 6: Final answer
    x = 22,679.54

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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.