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Finding the Fourth Proportional to 12,076.44, 16,665.08 and 6,698.86

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Solution

The fourth proportional to 12,076.44, 16,665.08 and 6,698.86 is: 9,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.44 : 16,665.08 = 6,698.86 : x
  2. Step 2: Convert to fraction form
    12,076.44/16,665.08 = 6,698.86/x
  3. Step 3: Cross multiply
    12,076.44x = 16,665.08 × 6,698.86
  4. Step 4: Simplify right side
    12,076.44x = 111,637,037.81
  5. Step 5: Solve for x
    x = 111,637,037.81/12,076.44
  6. Step 6: Final answer
    x = 9,244.20

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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.