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Finding the Fourth Proportional to 12,609.72, 17,399.34 and 7,641.72

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Solution

The fourth proportional to 12,609.72, 17,399.34 and 7,641.72 is: 10,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.72 : 17,399.34 = 7,641.72 : x
  2. Step 2: Convert to fraction form
    12,609.72/17,399.34 = 7,641.72/x
  3. Step 3: Cross multiply
    12,609.72x = 17,399.34 × 7,641.72
  4. Step 4: Simplify right side
    12,609.72x = 132,960,884.46
  5. Step 5: Solve for x
    x = 132,960,884.46/12,609.72
  6. Step 6: Final answer
    x = 10,544.32

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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.