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Finding the Fourth Proportional to 13,964.64, 19,271.20 and 7,676.96

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Solution

The fourth proportional to 13,964.64, 19,271.20 and 7,676.96 is: 10,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.64 : 19,271.20 = 7,676.96 : x
  2. Step 2: Convert to fraction form
    13,964.64/19,271.20 = 7,676.96/x
  3. Step 3: Cross multiply
    13,964.64x = 19,271.20 × 7,676.96
  4. Step 4: Simplify right side
    13,964.64x = 147,944,231.55
  5. Step 5: Solve for x
    x = 147,944,231.55/13,964.64
  6. Step 6: Final answer
    x = 10,594.20

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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.