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Finding the Fourth Proportional to 29,985.34, 41,379.57 and 16,556.47

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Solution

The fourth proportional to 29,985.34, 41,379.57 and 16,556.47 is: 22,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.34 : 41,379.57 = 16,556.47 : x
  2. Step 2: Convert to fraction form
    29,985.34/41,379.57 = 16,556.47/x
  3. Step 3: Cross multiply
    29,985.34x = 41,379.57 × 16,556.47
  4. Step 4: Simplify right side
    29,985.34x = 685,099,402.42
  5. Step 5: Solve for x
    x = 685,099,402.42/29,985.34
  6. Step 6: Final answer
    x = 22,847.82

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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.