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Finding the Fourth Proportional to 11,898.24, 16,432.73 and 9,241.65

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Solution

The fourth proportional to 11,898.24, 16,432.73 and 9,241.65 is: 12,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.24 : 16,432.73 = 9,241.65 : x
  2. Step 2: Convert to fraction form
    11,898.24/16,432.73 = 9,241.65/x
  3. Step 3: Cross multiply
    11,898.24x = 16,432.73 × 9,241.65
  4. Step 4: Simplify right side
    11,898.24x = 151,865,493.00
  5. Step 5: Solve for x
    x = 151,865,493.00/11,898.24
  6. Step 6: Final answer
    x = 12,763.69

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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.