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Finding the Fourth Proportional to 13,000.20, 19,513.10 and 6,433.80

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Solution

The fourth proportional to 13,000.20, 19,513.10 and 6,433.80 is: 9,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.20 : 19,513.10 = 6,433.80 : x
  2. Step 2: Convert to fraction form
    13,000.20/19,513.10 = 6,433.80/x
  3. Step 3: Cross multiply
    13,000.20x = 19,513.10 × 6,433.80
  4. Step 4: Simplify right side
    13,000.20x = 125,543,382.78
  5. Step 5: Solve for x
    x = 125,543,382.78/13,000.20
  6. Step 6: Final answer
    x = 9,657.03

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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.