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Finding the Fourth Proportional to 12,893.12, 17,788.30 and 7,514.33

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Solution

The fourth proportional to 12,893.12, 17,788.30 and 7,514.33 is: 10,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.12 : 17,788.30 = 7,514.33 : x
  2. Step 2: Convert to fraction form
    12,893.12/17,788.30 = 7,514.33/x
  3. Step 3: Cross multiply
    12,893.12x = 17,788.30 × 7,514.33
  4. Step 4: Simplify right side
    12,893.12x = 133,667,048.61
  5. Step 5: Solve for x
    x = 133,667,048.61/12,893.12
  6. Step 6: Final answer
    x = 10,367.32

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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.