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Finding the Fourth Proportional to 13,021.63, 19,533.29 and 5,230.44

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Solution

The fourth proportional to 13,021.63, 19,533.29 and 5,230.44 is: 7,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.63 : 19,533.29 = 5,230.44 : x
  2. Step 2: Convert to fraction form
    13,021.63/19,533.29 = 5,230.44/x
  3. Step 3: Cross multiply
    13,021.63x = 19,533.29 × 5,230.44
  4. Step 4: Simplify right side
    13,021.63x = 102,167,675.20
  5. Step 5: Solve for x
    x = 102,167,675.20/13,021.63
  6. Step 6: Final answer
    x = 7,846.00

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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.