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Finding the Fourth Proportional to 12,155.86, 16,768.65 and 8,372.51

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Solution

The fourth proportional to 12,155.86, 16,768.65 and 8,372.51 is: 11,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.86 : 16,768.65 = 8,372.51 : x
  2. Step 2: Convert to fraction form
    12,155.86/16,768.65 = 8,372.51/x
  3. Step 3: Cross multiply
    12,155.86x = 16,768.65 × 8,372.51
  4. Step 4: Simplify right side
    12,155.86x = 140,395,794.57
  5. Step 5: Solve for x
    x = 140,395,794.57/12,155.86
  6. Step 6: Final answer
    x = 11,549.64

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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.