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Finding the Fourth Proportional to 12,576.89, 17,356.02 and 6,911.69

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Solution

The fourth proportional to 12,576.89, 17,356.02 and 6,911.69 is: 9,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.89 : 17,356.02 = 6,911.69 : x
  2. Step 2: Convert to fraction form
    12,576.89/17,356.02 = 6,911.69/x
  3. Step 3: Cross multiply
    12,576.89x = 17,356.02 × 6,911.69
  4. Step 4: Simplify right side
    12,576.89x = 119,959,429.87
  5. Step 5: Solve for x
    x = 119,959,429.87/12,576.89
  6. Step 6: Final answer
    x = 9,538.08

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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.