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Finding the Fourth Proportional to 12,169.44, 16,802.64 and 7,989.84

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Solution

The fourth proportional to 12,169.44, 16,802.64 and 7,989.84 is: 11,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.44 : 16,802.64 = 7,989.84 : x
  2. Step 2: Convert to fraction form
    12,169.44/16,802.64 = 7,989.84/x
  3. Step 3: Cross multiply
    12,169.44x = 16,802.64 × 7,989.84
  4. Step 4: Simplify right side
    12,169.44x = 134,250,405.18
  5. Step 5: Solve for x
    x = 134,250,405.18/12,169.44
  6. Step 6: Final answer
    x = 11,031.77

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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.