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Finding the Fourth Proportional to 14,644.54, 20,209.46 and 9,342.42

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Solution

The fourth proportional to 14,644.54, 20,209.46 and 9,342.42 is: 12,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.54 : 20,209.46 = 9,342.42 : x
  2. Step 2: Convert to fraction form
    14,644.54/20,209.46 = 9,342.42/x
  3. Step 3: Cross multiply
    14,644.54x = 20,209.46 × 9,342.42
  4. Step 4: Simplify right side
    14,644.54x = 188,805,263.29
  5. Step 5: Solve for x
    x = 188,805,263.29/14,644.54
  6. Step 6: Final answer
    x = 12,892.54

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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.