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Finding the Fourth Proportional to 13,284.99, 19,930.76 and 3,924.96

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Solution

The fourth proportional to 13,284.99, 19,930.76 and 3,924.96 is: 5,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.99 : 19,930.76 = 3,924.96 : x
  2. Step 2: Convert to fraction form
    13,284.99/19,930.76 = 3,924.96/x
  3. Step 3: Cross multiply
    13,284.99x = 19,930.76 × 3,924.96
  4. Step 4: Simplify right side
    13,284.99x = 78,227,416.14
  5. Step 5: Solve for x
    x = 78,227,416.14/13,284.99
  6. Step 6: Final answer
    x = 5,888.41

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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.