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Finding the Fourth Proportional to 14,893.80, 20,551.46 and 9,229.80

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Solution

The fourth proportional to 14,893.80, 20,551.46 and 9,229.80 is: 12,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.80 : 20,551.46 = 9,229.80 : x
  2. Step 2: Convert to fraction form
    14,893.80/20,551.46 = 9,229.80/x
  3. Step 3: Cross multiply
    14,893.80x = 20,551.46 × 9,229.80
  4. Step 4: Simplify right side
    14,893.80x = 189,685,865.51
  5. Step 5: Solve for x
    x = 189,685,865.51/14,893.80
  6. Step 6: Final answer
    x = 12,735.89

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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.