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Finding the Fourth Proportional to 13,552.56, 20,304 and 9,380.64

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Solution

The fourth proportional to 13,552.56, 20,304 and 9,380.64 is: 14,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.56 : 20,304 = 9,380.64 : x
  2. Step 2: Convert to fraction form
    13,552.56/20,304 = 9,380.64/x
  3. Step 3: Cross multiply
    13,552.56x = 20,304 × 9,380.64
  4. Step 4: Simplify right side
    13,552.56x = 190,464,514.56
  5. Step 5: Solve for x
    x = 190,464,514.56/13,552.56
  6. Step 6: Final answer
    x = 14,053.77

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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.