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Finding the Fourth Proportional to 12,576.99, 17,356.32 and 6,910.86

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Solution

The fourth proportional to 12,576.99, 17,356.32 and 6,910.86 is: 9,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.99 : 17,356.32 = 6,910.86 : x
  2. Step 2: Convert to fraction form
    12,576.99/17,356.32 = 6,910.86/x
  3. Step 3: Cross multiply
    12,576.99x = 17,356.32 × 6,910.86
  4. Step 4: Simplify right side
    12,576.99x = 119,947,097.64
  5. Step 5: Solve for x
    x = 119,947,097.64/12,576.99
  6. Step 6: Final answer
    x = 9,537.03

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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.