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Finding the Fourth Proportional to 12,076.44, 18,113.12 and 4,675.84

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Solution

The fourth proportional to 12,076.44, 18,113.12 and 4,675.84 is: 7,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.44 : 18,113.12 = 4,675.84 : x
  2. Step 2: Convert to fraction form
    12,076.44/18,113.12 = 4,675.84/x
  3. Step 3: Cross multiply
    12,076.44x = 18,113.12 × 4,675.84
  4. Step 4: Simplify right side
    12,076.44x = 84,694,051.02
  5. Step 5: Solve for x
    x = 84,694,051.02/12,076.44
  6. Step 6: Final answer
    x = 7,013.16

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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.