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Finding the Fourth Proportional to 12,933.78, 19,400.67 and 6,004.50

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Solution

The fourth proportional to 12,933.78, 19,400.67 and 6,004.50 is: 9,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.78 : 19,400.67 = 6,004.50 : x
  2. Step 2: Convert to fraction form
    12,933.78/19,400.67 = 6,004.50/x
  3. Step 3: Cross multiply
    12,933.78x = 19,400.67 × 6,004.50
  4. Step 4: Simplify right side
    12,933.78x = 116,491,323.02
  5. Step 5: Solve for x
    x = 116,491,323.02/12,933.78
  6. Step 6: Final answer
    x = 9,006.75

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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.