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Finding the Fourth Proportional to 12,322.92, 17,013.51 and 7,609.94

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Solution

The fourth proportional to 12,322.92, 17,013.51 and 7,609.94 is: 10,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.92 : 17,013.51 = 7,609.94 : x
  2. Step 2: Convert to fraction form
    12,322.92/17,013.51 = 7,609.94/x
  3. Step 3: Cross multiply
    12,322.92x = 17,013.51 × 7,609.94
  4. Step 4: Simplify right side
    12,322.92x = 129,471,790.29
  5. Step 5: Solve for x
    x = 129,471,790.29/12,322.92
  6. Step 6: Final answer
    x = 10,506.58

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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.