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Finding the Fourth Proportional to 12,965.60, 17,894.40 and 8,256.80

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Solution

The fourth proportional to 12,965.60, 17,894.40 and 8,256.80 is: 11,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.60 : 17,894.40 = 8,256.80 : x
  2. Step 2: Convert to fraction form
    12,965.60/17,894.40 = 8,256.80/x
  3. Step 3: Cross multiply
    12,965.60x = 17,894.40 × 8,256.80
  4. Step 4: Simplify right side
    12,965.60x = 147,750,481.92
  5. Step 5: Solve for x
    x = 147,750,481.92/12,965.60
  6. Step 6: Final answer
    x = 11,395.58

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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.