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Finding the Fourth Proportional to 13,563.90, 20,343.15 and 6,543.90

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Solution

The fourth proportional to 13,563.90, 20,343.15 and 6,543.90 is: 9,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.90 : 20,343.15 = 6,543.90 : x
  2. Step 2: Convert to fraction form
    13,563.90/20,343.15 = 6,543.90/x
  3. Step 3: Cross multiply
    13,563.90x = 20,343.15 × 6,543.90
  4. Step 4: Simplify right side
    13,563.90x = 133,123,539.29
  5. Step 5: Solve for x
    x = 133,123,539.29/13,563.90
  6. Step 6: Final answer
    x = 9,814.55

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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.