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Finding the Fourth Proportional to 14,604.30, 21,914.10 and 6,709.20

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Solution

The fourth proportional to 14,604.30, 21,914.10 and 6,709.20 is: 10,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.30 : 21,914.10 = 6,709.20 : x
  2. Step 2: Convert to fraction form
    14,604.30/21,914.10 = 6,709.20/x
  3. Step 3: Cross multiply
    14,604.30x = 21,914.10 × 6,709.20
  4. Step 4: Simplify right side
    14,604.30x = 147,026,079.72
  5. Step 5: Solve for x
    x = 147,026,079.72/14,604.30
  6. Step 6: Final answer
    x = 10,067.31

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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.