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Finding the Fourth Proportional to 14,600.45, 20,142.47 and 8,933.09

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Solution

The fourth proportional to 14,600.45, 20,142.47 and 8,933.09 is: 12,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.45 : 20,142.47 = 8,933.09 : x
  2. Step 2: Convert to fraction form
    14,600.45/20,142.47 = 8,933.09/x
  3. Step 3: Cross multiply
    14,600.45x = 20,142.47 × 8,933.09
  4. Step 4: Simplify right side
    14,600.45x = 179,934,418.95
  5. Step 5: Solve for x
    x = 179,934,418.95/14,600.45
  6. Step 6: Final answer
    x = 12,323.89

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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.