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Finding the Fourth Proportional to 20,377.98, 30,538.62 and 9,257.49

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Solution

The fourth proportional to 20,377.98, 30,538.62 and 9,257.49 is: 13,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,377.98 : 30,538.62 = 9,257.49 : x
  2. Step 2: Convert to fraction form
    20,377.98/30,538.62 = 9,257.49/x
  3. Step 3: Cross multiply
    20,377.98x = 30,538.62 × 9,257.49
  4. Step 4: Simplify right side
    20,377.98x = 282,710,969.26
  5. Step 5: Solve for x
    x = 282,710,969.26/20,377.98
  6. Step 6: Final answer
    x = 13,873.36

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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.