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Finding the Fourth Proportional to 29,835.98, 41,174.64 and 16,408.22

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Solution

The fourth proportional to 29,835.98, 41,174.64 and 16,408.22 is: 22,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.98 : 41,174.64 = 16,408.22 : x
  2. Step 2: Convert to fraction form
    29,835.98/41,174.64 = 16,408.22/x
  3. Step 3: Cross multiply
    29,835.98x = 41,174.64 × 16,408.22
  4. Step 4: Simplify right side
    29,835.98x = 675,602,551.54
  5. Step 5: Solve for x
    x = 675,602,551.54/29,835.98
  6. Step 6: Final answer
    x = 22,643.89

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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.