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Finding the Fourth Proportional to 12,774.90, 17,627.29 and 7,994.28

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Solution

The fourth proportional to 12,774.90, 17,627.29 and 7,994.28 is: 11,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.90 : 17,627.29 = 7,994.28 : x
  2. Step 2: Convert to fraction form
    12,774.90/17,627.29 = 7,994.28/x
  3. Step 3: Cross multiply
    12,774.90x = 17,627.29 × 7,994.28
  4. Step 4: Simplify right side
    12,774.90x = 140,917,491.90
  5. Step 5: Solve for x
    x = 140,917,491.90/12,774.90
  6. Step 6: Final answer
    x = 11,030.81

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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.