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Finding the Fourth Proportional to 12,884.99, 19,334.79 and 5,488.67

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Solution

The fourth proportional to 12,884.99, 19,334.79 and 5,488.67 is: 8,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.99 : 19,334.79 = 5,488.67 : x
  2. Step 2: Convert to fraction form
    12,884.99/19,334.79 = 5,488.67/x
  3. Step 3: Cross multiply
    12,884.99x = 19,334.79 × 5,488.67
  4. Step 4: Simplify right side
    12,884.99x = 106,122,330.17
  5. Step 5: Solve for x
    x = 106,122,330.17/12,884.99
  6. Step 6: Final answer
    x = 8,236.12

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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.