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Finding the Fourth Proportional to 14,747.50, 20,351.55 and 8,123.50

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Solution

The fourth proportional to 14,747.50, 20,351.55 and 8,123.50 is: 11,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747.50 : 20,351.55 = 8,123.50 : x
  2. Step 2: Convert to fraction form
    14,747.50/20,351.55 = 8,123.50/x
  3. Step 3: Cross multiply
    14,747.50x = 20,351.55 × 8,123.50
  4. Step 4: Simplify right side
    14,747.50x = 165,325,816.43
  5. Step 5: Solve for x
    x = 165,325,816.43/14,747.50
  6. Step 6: Final answer
    x = 11,210.43

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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.