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Finding the Fourth Proportional to 12,698.64, 17,527.56 and 7,662.96

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Solution

The fourth proportional to 12,698.64, 17,527.56 and 7,662.96 is: 10,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.64 : 17,527.56 = 7,662.96 : x
  2. Step 2: Convert to fraction form
    12,698.64/17,527.56 = 7,662.96/x
  3. Step 3: Cross multiply
    12,698.64x = 17,527.56 × 7,662.96
  4. Step 4: Simplify right side
    12,698.64x = 134,312,991.18
  5. Step 5: Solve for x
    x = 134,312,991.18/12,698.64
  6. Step 6: Final answer
    x = 10,576.96

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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.