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Finding the Fourth Proportional to 13,050.78, 19,584.40 and 6,822.02

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Solution

The fourth proportional to 13,050.78, 19,584.40 and 6,822.02 is: 10,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050.78 : 19,584.40 = 6,822.02 : x
  2. Step 2: Convert to fraction form
    13,050.78/19,584.40 = 6,822.02/x
  3. Step 3: Cross multiply
    13,050.78x = 19,584.40 × 6,822.02
  4. Step 4: Simplify right side
    13,050.78x = 133,605,168.49
  5. Step 5: Solve for x
    x = 133,605,168.49/13,050.78
  6. Step 6: Final answer
    x = 10,237.33

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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.