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Finding the Fourth Proportional to 13,393.82, 18,483.33 and 7,728.50

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Solution

The fourth proportional to 13,393.82, 18,483.33 and 7,728.50 is: 10,665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.82 : 18,483.33 = 7,728.50 : x
  2. Step 2: Convert to fraction form
    13,393.82/18,483.33 = 7,728.50/x
  3. Step 3: Cross multiply
    13,393.82x = 18,483.33 × 7,728.50
  4. Step 4: Simplify right side
    13,393.82x = 142,848,377.26
  5. Step 5: Solve for x
    x = 142,848,377.26/13,393.82
  6. Step 6: Final answer
    x = 10,665.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.