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Finding the Fourth Proportional to 17,819.64, 26,717.16 and 7,819.60

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Solution

The fourth proportional to 17,819.64, 26,717.16 and 7,819.60 is: 11,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,819.64 : 26,717.16 = 7,819.60 : x
  2. Step 2: Convert to fraction form
    17,819.64/26,717.16 = 7,819.60/x
  3. Step 3: Cross multiply
    17,819.64x = 26,717.16 × 7,819.60
  4. Step 4: Simplify right side
    17,819.64x = 208,917,504.34
  5. Step 5: Solve for x
    x = 208,917,504.34/17,819.64
  6. Step 6: Final answer
    x = 11,724.00

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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.