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Finding the Fourth Proportional to 12,609.09, 17,401.91 and 7,894.89

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Solution

The fourth proportional to 12,609.09, 17,401.91 and 7,894.89 is: 10,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.09 : 17,401.91 = 7,894.89 : x
  2. Step 2: Convert to fraction form
    12,609.09/17,401.91 = 7,894.89/x
  3. Step 3: Cross multiply
    12,609.09x = 17,401.91 × 7,894.89
  4. Step 4: Simplify right side
    12,609.09x = 137,386,125.77
  5. Step 5: Solve for x
    x = 137,386,125.77/12,609.09
  6. Step 6: Final answer
    x = 10,895.80

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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.