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Finding the Fourth Proportional to 13,735.88, 20,580.28 and 9,224.48

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Solution

The fourth proportional to 13,735.88, 20,580.28 and 9,224.48 is: 13,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.88 : 20,580.28 = 9,224.48 : x
  2. Step 2: Convert to fraction form
    13,735.88/20,580.28 = 9,224.48/x
  3. Step 3: Cross multiply
    13,735.88x = 20,580.28 × 9,224.48
  4. Step 4: Simplify right side
    13,735.88x = 189,842,381.25
  5. Step 5: Solve for x
    x = 189,842,381.25/13,735.88
  6. Step 6: Final answer
    x = 13,820.91

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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.