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Finding the Fourth Proportional to 12,071.76, 16,671.86 and 11,076.68

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Solution

The fourth proportional to 12,071.76, 16,671.86 and 11,076.68 is: 15,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.76 : 16,671.86 = 11,076.68 : x
  2. Step 2: Convert to fraction form
    12,071.76/16,671.86 = 11,076.68/x
  3. Step 3: Cross multiply
    12,071.76x = 16,671.86 × 11,076.68
  4. Step 4: Simplify right side
    12,071.76x = 184,668,858.22
  5. Step 5: Solve for x
    x = 184,668,858.22/12,071.76
  6. Step 6: Final answer
    x = 15,297.59

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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.