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Finding the Fourth Proportional to 16,971.49, 25,447 and 7,609.81

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Solution

The fourth proportional to 16,971.49, 25,447 and 7,609.81 is: 11,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.49 : 25,447 = 7,609.81 : x
  2. Step 2: Convert to fraction form
    16,971.49/25,447 = 7,609.81/x
  3. Step 3: Cross multiply
    16,971.49x = 25,447 × 7,609.81
  4. Step 4: Simplify right side
    16,971.49x = 193,646,835.07
  5. Step 5: Solve for x
    x = 193,646,835.07/16,971.49
  6. Step 6: Final answer
    x = 11,410.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.