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Finding the Fourth Proportional to 13,964.28, 19,270.98 and 7,676.88

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Solution

The fourth proportional to 13,964.28, 19,270.98 and 7,676.88 is: 10,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.28 : 19,270.98 = 7,676.88 : x
  2. Step 2: Convert to fraction form
    13,964.28/19,270.98 = 7,676.88/x
  3. Step 3: Cross multiply
    13,964.28x = 19,270.98 × 7,676.88
  4. Step 4: Simplify right side
    13,964.28x = 147,941,000.94
  5. Step 5: Solve for x
    x = 147,941,000.94/13,964.28
  6. Step 6: Final answer
    x = 10,594.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.