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Finding the Fourth Proportional to 13,028.70, 19,543.93 and 6,453.12

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Solution

The fourth proportional to 13,028.70, 19,543.93 and 6,453.12 is: 9,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.70 : 19,543.93 = 6,453.12 : x
  2. Step 2: Convert to fraction form
    13,028.70/19,543.93 = 6,453.12/x
  3. Step 3: Cross multiply
    13,028.70x = 19,543.93 × 6,453.12
  4. Step 4: Simplify right side
    13,028.70x = 126,119,309.08
  5. Step 5: Solve for x
    x = 126,119,309.08/13,028.70
  6. Step 6: Final answer
    x = 9,680.12

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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.