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Finding the Fourth Proportional to 14,074.50, 19,423.26 and 7,788.09

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Solution

The fourth proportional to 14,074.50, 19,423.26 and 7,788.09 is: 10,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.50 : 19,423.26 = 7,788.09 : x
  2. Step 2: Convert to fraction form
    14,074.50/19,423.26 = 7,788.09/x
  3. Step 3: Cross multiply
    14,074.50x = 19,423.26 × 7,788.09
  4. Step 4: Simplify right side
    14,074.50x = 151,270,096.97
  5. Step 5: Solve for x
    x = 151,270,096.97/14,074.50
  6. Step 6: Final answer
    x = 10,747.81

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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.