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Finding the Fourth Proportional to 13,754.06, 18,980.62 and 7,466.44

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Solution

The fourth proportional to 13,754.06, 18,980.62 and 7,466.44 is: 10,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.06 : 18,980.62 = 7,466.44 : x
  2. Step 2: Convert to fraction form
    13,754.06/18,980.62 = 7,466.44/x
  3. Step 3: Cross multiply
    13,754.06x = 18,980.62 × 7,466.44
  4. Step 4: Simplify right side
    13,754.06x = 141,717,660.39
  5. Step 5: Solve for x
    x = 141,717,660.39/13,754.06
  6. Step 6: Final answer
    x = 10,303.70

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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.