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Finding the Fourth Proportional to 12,884.33, 19,327.26 and 4,000.50

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Solution

The fourth proportional to 12,884.33, 19,327.26 and 4,000.50 is: 6,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.33 : 19,327.26 = 4,000.50 : x
  2. Step 2: Convert to fraction form
    12,884.33/19,327.26 = 4,000.50/x
  3. Step 3: Cross multiply
    12,884.33x = 19,327.26 × 4,000.50
  4. Step 4: Simplify right side
    12,884.33x = 77,318,703.63
  5. Step 5: Solve for x
    x = 77,318,703.63/12,884.33
  6. Step 6: Final answer
    x = 6,000.99

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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.