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Finding the Fourth Proportional to 13,423.78, 20,135.68 and 4,190.50

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Solution

The fourth proportional to 13,423.78, 20,135.68 and 4,190.50 is: 6,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.78 : 20,135.68 = 4,190.50 : x
  2. Step 2: Convert to fraction form
    13,423.78/20,135.68 = 4,190.50/x
  3. Step 3: Cross multiply
    13,423.78x = 20,135.68 × 4,190.50
  4. Step 4: Simplify right side
    13,423.78x = 84,378,567.04
  5. Step 5: Solve for x
    x = 84,378,567.04/13,423.78
  6. Step 6: Final answer
    x = 6,285.75

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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.