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Finding the Fourth Proportional to 13,830.72, 20,766.78 and 7,914.28

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Solution

The fourth proportional to 13,830.72, 20,766.78 and 7,914.28 is: 11,883.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.72 : 20,766.78 = 7,914.28 : x
  2. Step 2: Convert to fraction form
    13,830.72/20,766.78 = 7,914.28/x
  3. Step 3: Cross multiply
    13,830.72x = 20,766.78 × 7,914.28
  4. Step 4: Simplify right side
    13,830.72x = 164,354,111.62
  5. Step 5: Solve for x
    x = 164,354,111.62/13,830.72
  6. Step 6: Final answer
    x = 11,883.27

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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.