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Finding the Fourth Proportional to 13,548.98, 20,309.52 and 7,693.22

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Solution

The fourth proportional to 13,548.98, 20,309.52 and 7,693.22 is: 11,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.98 : 20,309.52 = 7,693.22 : x
  2. Step 2: Convert to fraction form
    13,548.98/20,309.52 = 7,693.22/x
  3. Step 3: Cross multiply
    13,548.98x = 20,309.52 × 7,693.22
  4. Step 4: Simplify right side
    13,548.98x = 156,245,605.45
  5. Step 5: Solve for x
    x = 156,245,605.45/13,548.98
  6. Step 6: Final answer
    x = 11,531.91

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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.