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Finding the Fourth Proportional to 12,076.20, 18,114.30 and 11,638.80

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Solution

The fourth proportional to 12,076.20, 18,114.30 and 11,638.80 is: 17,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.20 : 18,114.30 = 11,638.80 : x
  2. Step 2: Convert to fraction form
    12,076.20/18,114.30 = 11,638.80/x
  3. Step 3: Cross multiply
    12,076.20x = 18,114.30 × 11,638.80
  4. Step 4: Simplify right side
    12,076.20x = 210,828,714.84
  5. Step 5: Solve for x
    x = 210,828,714.84/12,076.20
  6. Step 6: Final answer
    x = 17,458.20

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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.