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Finding the Fourth Proportional to 13,495.82, 18,627.56 and 9,196.02

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Solution

The fourth proportional to 13,495.82, 18,627.56 and 9,196.02 is: 12,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.82 : 18,627.56 = 9,196.02 : x
  2. Step 2: Convert to fraction form
    13,495.82/18,627.56 = 9,196.02/x
  3. Step 3: Cross multiply
    13,495.82x = 18,627.56 × 9,196.02
  4. Step 4: Simplify right side
    13,495.82x = 171,299,321.17
  5. Step 5: Solve for x
    x = 171,299,321.17/13,495.82
  6. Step 6: Final answer
    x = 12,692.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.