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Finding the Fourth Proportional to 13,667.88, 20,495.34 and 7,087.48

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Solution

The fourth proportional to 13,667.88, 20,495.34 and 7,087.48 is: 10,627.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.88 : 20,495.34 = 7,087.48 : x
  2. Step 2: Convert to fraction form
    13,667.88/20,495.34 = 7,087.48/x
  3. Step 3: Cross multiply
    13,667.88x = 20,495.34 × 7,087.48
  4. Step 4: Simplify right side
    13,667.88x = 145,260,312.34
  5. Step 5: Solve for x
    x = 145,260,312.34/13,667.88
  6. Step 6: Final answer
    x = 10,627.86

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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.