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Finding the Fourth Proportional to 12,576.36, 17,354.70 and 6,987

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Solution

The fourth proportional to 12,576.36, 17,354.70 and 6,987 is: 9,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.36 : 17,354.70 = 6,987 : x
  2. Step 2: Convert to fraction form
    12,576.36/17,354.70 = 6,987/x
  3. Step 3: Cross multiply
    12,576.36x = 17,354.70 × 6,987
  4. Step 4: Simplify right side
    12,576.36x = 121,257,288.90
  5. Step 5: Solve for x
    x = 121,257,288.90/12,576.36
  6. Step 6: Final answer
    x = 9,641.68

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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.