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Finding the Fourth Proportional to 29,658.44, 44,485.74 and 11,189.96

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Solution

The fourth proportional to 29,658.44, 44,485.74 and 11,189.96 is: 16,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.44 : 44,485.74 = 11,189.96 : x
  2. Step 2: Convert to fraction form
    29,658.44/44,485.74 = 11,189.96/x
  3. Step 3: Cross multiply
    29,658.44x = 44,485.74 × 11,189.96
  4. Step 4: Simplify right side
    29,658.44x = 497,793,651.17
  5. Step 5: Solve for x
    x = 497,793,651.17/29,658.44
  6. Step 6: Final answer
    x = 16,784.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.