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Finding the Fourth Proportional to 13,021.70, 19,533.46 and 6,446.12

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Solution

The fourth proportional to 13,021.70, 19,533.46 and 6,446.12 is: 9,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.70 : 19,533.46 = 6,446.12 : x
  2. Step 2: Convert to fraction form
    13,021.70/19,533.46 = 6,446.12/x
  3. Step 3: Cross multiply
    13,021.70x = 19,533.46 × 6,446.12
  4. Step 4: Simplify right side
    13,021.70x = 125,914,962.23
  5. Step 5: Solve for x
    x = 125,914,962.23/13,021.70
  6. Step 6: Final answer
    x = 9,669.63

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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.