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Finding the Fourth Proportional to 12,514.32, 17,233.02 and 11,187.54

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Solution

The fourth proportional to 12,514.32, 17,233.02 and 11,187.54 is: 15,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.32 : 17,233.02 = 11,187.54 : x
  2. Step 2: Convert to fraction form
    12,514.32/17,233.02 = 11,187.54/x
  3. Step 3: Cross multiply
    12,514.32x = 17,233.02 × 11,187.54
  4. Step 4: Simplify right side
    12,514.32x = 192,795,100.57
  5. Step 5: Solve for x
    x = 192,795,100.57/12,514.32
  6. Step 6: Final answer
    x = 15,405.96

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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.