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Finding the Fourth Proportional to 13,204.70, 19,802.72 and 6,182.54

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Solution

The fourth proportional to 13,204.70, 19,802.72 and 6,182.54 is: 9,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.70 : 19,802.72 = 6,182.54 : x
  2. Step 2: Convert to fraction form
    13,204.70/19,802.72 = 6,182.54/x
  3. Step 3: Cross multiply
    13,204.70x = 19,802.72 × 6,182.54
  4. Step 4: Simplify right side
    13,204.70x = 122,431,024.95
  5. Step 5: Solve for x
    x = 122,431,024.95/13,204.70
  6. Step 6: Final answer
    x = 9,271.78

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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.