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Finding the Fourth Proportional to 29,600.64, 40,849.14 and 16,171.68

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Solution

The fourth proportional to 29,600.64, 40,849.14 and 16,171.68 is: 22,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,600.64 : 40,849.14 = 16,171.68 : x
  2. Step 2: Convert to fraction form
    29,600.64/40,849.14 = 16,171.68/x
  3. Step 3: Cross multiply
    29,600.64x = 40,849.14 × 16,171.68
  4. Step 4: Simplify right side
    29,600.64x = 660,599,220.36
  5. Step 5: Solve for x
    x = 660,599,220.36/29,600.64
  6. Step 6: Final answer
    x = 22,317.06

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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.