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Finding the Fourth Proportional to 17,114.64, 23,609.60 and 11,812.40

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Solution

The fourth proportional to 17,114.64, 23,609.60 and 11,812.40 is: 16,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.64 : 23,609.60 = 11,812.40 : x
  2. Step 2: Convert to fraction form
    17,114.64/23,609.60 = 11,812.40/x
  3. Step 3: Cross multiply
    17,114.64x = 23,609.60 × 11,812.40
  4. Step 4: Simplify right side
    17,114.64x = 278,886,039.04
  5. Step 5: Solve for x
    x = 278,886,039.04/17,114.64
  6. Step 6: Final answer
    x = 16,295.17

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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.