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Finding the Fourth Proportional to 13,535.42, 18,644.18 and 9,549.54

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Solution

The fourth proportional to 13,535.42, 18,644.18 and 9,549.54 is: 13,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.42 : 18,644.18 = 9,549.54 : x
  2. Step 2: Convert to fraction form
    13,535.42/18,644.18 = 9,549.54/x
  3. Step 3: Cross multiply
    13,535.42x = 18,644.18 × 9,549.54
  4. Step 4: Simplify right side
    13,535.42x = 178,043,294.93
  5. Step 5: Solve for x
    x = 178,043,294.93/13,535.42
  6. Step 6: Final answer
    x = 13,153.89

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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.