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Finding the Fourth Proportional to 12,554.69, 17,324.89 and 6,889.31

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Solution

The fourth proportional to 12,554.69, 17,324.89 and 6,889.31 is: 9,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.69 : 17,324.89 = 6,889.31 : x
  2. Step 2: Convert to fraction form
    12,554.69/17,324.89 = 6,889.31/x
  3. Step 3: Cross multiply
    12,554.69x = 17,324.89 × 6,889.31
  4. Step 4: Simplify right side
    12,554.69x = 119,356,537.93
  5. Step 5: Solve for x
    x = 119,356,537.93/12,554.69
  6. Step 6: Final answer
    x = 9,506.93

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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.