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Finding the Fourth Proportional to 12,994.78, 17,933.12 and 7,961.78

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Solution

The fourth proportional to 12,994.78, 17,933.12 and 7,961.78 is: 10,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.78 : 17,933.12 = 7,961.78 : x
  2. Step 2: Convert to fraction form
    12,994.78/17,933.12 = 7,961.78/x
  3. Step 3: Cross multiply
    12,994.78x = 17,933.12 × 7,961.78
  4. Step 4: Simplify right side
    12,994.78x = 142,779,486.39
  5. Step 5: Solve for x
    x = 142,779,486.39/12,994.78
  6. Step 6: Final answer
    x = 10,987.45

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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.