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Finding the Fourth Proportional to 13,493.67, 18,633.01 and 8,466.53

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Solution

The fourth proportional to 13,493.67, 18,633.01 and 8,466.53 is: 11,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.67 : 18,633.01 = 8,466.53 : x
  2. Step 2: Convert to fraction form
    13,493.67/18,633.01 = 8,466.53/x
  3. Step 3: Cross multiply
    13,493.67x = 18,633.01 × 8,466.53
  4. Step 4: Simplify right side
    13,493.67x = 157,756,938.16
  5. Step 5: Solve for x
    x = 157,756,938.16/13,493.67
  6. Step 6: Final answer
    x = 11,691.18

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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.