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Finding the Fourth Proportional to 29,811.51, 41,139.09 and 16,384.14

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Solution

The fourth proportional to 29,811.51, 41,139.09 and 16,384.14 is: 22,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,811.51 : 41,139.09 = 16,384.14 : x
  2. Step 2: Convert to fraction form
    29,811.51/41,139.09 = 16,384.14/x
  3. Step 3: Cross multiply
    29,811.51x = 41,139.09 × 16,384.14
  4. Step 4: Simplify right side
    29,811.51x = 674,028,610.03
  5. Step 5: Solve for x
    x = 674,028,610.03/29,811.51
  6. Step 6: Final answer
    x = 22,609.68

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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.