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Finding the Fourth Proportional to 12,735.30, 17,576.81 and 7,071.86

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Solution

The fourth proportional to 12,735.30, 17,576.81 and 7,071.86 is: 9,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.30 : 17,576.81 = 7,071.86 : x
  2. Step 2: Convert to fraction form
    12,735.30/17,576.81 = 7,071.86/x
  3. Step 3: Cross multiply
    12,735.30x = 17,576.81 × 7,071.86
  4. Step 4: Simplify right side
    12,735.30x = 124,300,616.32
  5. Step 5: Solve for x
    x = 124,300,616.32/12,735.30
  6. Step 6: Final answer
    x = 9,760.32

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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.