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Finding the Fourth Proportional to 13,477.72, 20,220.24 and 7,638.43

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Solution

The fourth proportional to 13,477.72, 20,220.24 and 7,638.43 is: 11,459.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.72 : 20,220.24 = 7,638.43 : x
  2. Step 2: Convert to fraction form
    13,477.72/20,220.24 = 7,638.43/x
  3. Step 3: Cross multiply
    13,477.72x = 20,220.24 × 7,638.43
  4. Step 4: Simplify right side
    13,477.72x = 154,450,887.82
  5. Step 5: Solve for x
    x = 154,450,887.82/13,477.72
  6. Step 6: Final answer
    x = 11,459.72

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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.