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Finding the Fourth Proportional to 11,650.13, 17,421.50 and 8,653.80

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Solution

The fourth proportional to 11,650.13, 17,421.50 and 8,653.80 is: 12,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.13 : 17,421.50 = 8,653.80 : x
  2. Step 2: Convert to fraction form
    11,650.13/17,421.50 = 8,653.80/x
  3. Step 3: Cross multiply
    11,650.13x = 17,421.50 × 8,653.80
  4. Step 4: Simplify right side
    11,650.13x = 150,762,133.43
  5. Step 5: Solve for x
    x = 150,762,133.43/11,650.13
  6. Step 6: Final answer
    x = 12,940.82

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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.