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Finding the Fourth Proportional to 13,514.34, 18,627.46 and 9,036.44

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Solution

The fourth proportional to 13,514.34, 18,627.46 and 9,036.44 is: 12,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.34 : 18,627.46 = 9,036.44 : x
  2. Step 2: Convert to fraction form
    13,514.34/18,627.46 = 9,036.44/x
  3. Step 3: Cross multiply
    13,514.34x = 18,627.46 × 9,036.44
  4. Step 4: Simplify right side
    13,514.34x = 168,325,924.64
  5. Step 5: Solve for x
    x = 168,325,924.64/13,514.34
  6. Step 6: Final answer
    x = 12,455.36

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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.