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Finding the Fourth Proportional to 12,051.86, 18,076.08 and 4,659.80

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Solution

The fourth proportional to 12,051.86, 18,076.08 and 4,659.80 is: 6,989.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.86 : 18,076.08 = 4,659.80 : x
  2. Step 2: Convert to fraction form
    12,051.86/18,076.08 = 4,659.80/x
  3. Step 3: Cross multiply
    12,051.86x = 18,076.08 × 4,659.80
  4. Step 4: Simplify right side
    12,051.86x = 84,230,917.58
  5. Step 5: Solve for x
    x = 84,230,917.58/12,051.86
  6. Step 6: Final answer
    x = 6,989.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.