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Finding the Fourth Proportional to 13,443.34, 18,546.48 and 7,777.03

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Solution

The fourth proportional to 13,443.34, 18,546.48 and 7,777.03 is: 10,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.34 : 18,546.48 = 7,777.03 : x
  2. Step 2: Convert to fraction form
    13,443.34/18,546.48 = 7,777.03/x
  3. Step 3: Cross multiply
    13,443.34x = 18,546.48 × 7,777.03
  4. Step 4: Simplify right side
    13,443.34x = 144,236,531.35
  5. Step 5: Solve for x
    x = 144,236,531.35/13,443.34
  6. Step 6: Final answer
    x = 10,729.22

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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.