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Finding the Fourth Proportional to 13,754.14, 18,980.78 and 7,466.50

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Solution

The fourth proportional to 13,754.14, 18,980.78 and 7,466.50 is: 10,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.14 : 18,980.78 = 7,466.50 : x
  2. Step 2: Convert to fraction form
    13,754.14/18,980.78 = 7,466.50/x
  3. Step 3: Cross multiply
    13,754.14x = 18,980.78 × 7,466.50
  4. Step 4: Simplify right side
    13,754.14x = 141,719,993.87
  5. Step 5: Solve for x
    x = 141,719,993.87/13,754.14
  6. Step 6: Final answer
    x = 10,303.81

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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.