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Finding the Fourth Proportional to 13,020.14, 19,504.08 and 5,990.36

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Solution

The fourth proportional to 13,020.14, 19,504.08 and 5,990.36 is: 8,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.14 : 19,504.08 = 5,990.36 : x
  2. Step 2: Convert to fraction form
    13,020.14/19,504.08 = 5,990.36/x
  3. Step 3: Cross multiply
    13,020.14x = 19,504.08 × 5,990.36
  4. Step 4: Simplify right side
    13,020.14x = 116,836,363.15
  5. Step 5: Solve for x
    x = 116,836,363.15/13,020.14
  6. Step 6: Final answer
    x = 8,973.51

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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.