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Finding the Fourth Proportional to 12,305.34, 18,455.94 and 4,514.22

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Solution

The fourth proportional to 12,305.34, 18,455.94 and 4,514.22 is: 6,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.34 : 18,455.94 = 4,514.22 : x
  2. Step 2: Convert to fraction form
    12,305.34/18,455.94 = 4,514.22/x
  3. Step 3: Cross multiply
    12,305.34x = 18,455.94 × 4,514.22
  4. Step 4: Simplify right side
    12,305.34x = 83,314,173.47
  5. Step 5: Solve for x
    x = 83,314,173.47/12,305.34
  6. Step 6: Final answer
    x = 6,770.57

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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.