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Finding the Fourth Proportional to 13,763.61, 18,993.67 and 7,475.98

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Solution

The fourth proportional to 13,763.61, 18,993.67 and 7,475.98 is: 10,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.61 : 18,993.67 = 7,475.98 : x
  2. Step 2: Convert to fraction form
    13,763.61/18,993.67 = 7,475.98/x
  3. Step 3: Cross multiply
    13,763.61x = 18,993.67 × 7,475.98
  4. Step 4: Simplify right side
    13,763.61x = 141,996,297.05
  5. Step 5: Solve for x
    x = 141,996,297.05/13,763.61
  6. Step 6: Final answer
    x = 10,316.79

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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.