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Finding the Fourth Proportional to 13,256.33, 19,841.23 and 9,745.41

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Solution

The fourth proportional to 13,256.33, 19,841.23 and 9,745.41 is: 14,586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.33 : 19,841.23 = 9,745.41 : x
  2. Step 2: Convert to fraction form
    13,256.33/19,841.23 = 9,745.41/x
  3. Step 3: Cross multiply
    13,256.33x = 19,841.23 × 9,745.41
  4. Step 4: Simplify right side
    13,256.33x = 193,360,872.53
  5. Step 5: Solve for x
    x = 193,360,872.53/13,256.33
  6. Step 6: Final answer
    x = 14,586.30

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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.