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Finding the Fourth Proportional to 19,144.54, 28,716.81 and 8,749

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Solution

The fourth proportional to 19,144.54, 28,716.81 and 8,749 is: 13,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,144.54 : 28,716.81 = 8,749 : x
  2. Step 2: Convert to fraction form
    19,144.54/28,716.81 = 8,749/x
  3. Step 3: Cross multiply
    19,144.54x = 28,716.81 × 8,749
  4. Step 4: Simplify right side
    19,144.54x = 251,243,370.69
  5. Step 5: Solve for x
    x = 251,243,370.69/19,144.54
  6. Step 6: Final answer
    x = 13,123.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.