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Finding the Fourth Proportional to 13,905.54, 20,821.86 and 9,531.54

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Solution

The fourth proportional to 13,905.54, 20,821.86 and 9,531.54 is: 14,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.54 : 20,821.86 = 9,531.54 : x
  2. Step 2: Convert to fraction form
    13,905.54/20,821.86 = 9,531.54/x
  3. Step 3: Cross multiply
    13,905.54x = 20,821.86 × 9,531.54
  4. Step 4: Simplify right side
    13,905.54x = 198,464,391.46
  5. Step 5: Solve for x
    x = 198,464,391.46/13,905.54
  6. Step 6: Final answer
    x = 14,272.33

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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.