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Finding the Fourth Proportional to 14,076.34, 21,114.49 and 6,676.76

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Solution

The fourth proportional to 14,076.34, 21,114.49 and 6,676.76 is: 10,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.34 : 21,114.49 = 6,676.76 : x
  2. Step 2: Convert to fraction form
    14,076.34/21,114.49 = 6,676.76/x
  3. Step 3: Cross multiply
    14,076.34x = 21,114.49 × 6,676.76
  4. Step 4: Simplify right side
    14,076.34x = 140,976,382.25
  5. Step 5: Solve for x
    x = 140,976,382.25/14,076.34
  6. Step 6: Final answer
    x = 10,015.13

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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.