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Finding the Fourth Proportional to 13,030.98, 19,546.17 and 3,170.31

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Solution

The fourth proportional to 13,030.98, 19,546.17 and 3,170.31 is: 4,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.98 : 19,546.17 = 3,170.31 : x
  2. Step 2: Convert to fraction form
    13,030.98/19,546.17 = 3,170.31/x
  3. Step 3: Cross multiply
    13,030.98x = 19,546.17 × 3,170.31
  4. Step 4: Simplify right side
    13,030.98x = 61,967,418.21
  5. Step 5: Solve for x
    x = 61,967,418.21/13,030.98
  6. Step 6: Final answer
    x = 4,755.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.