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Finding the Fourth Proportional to 17,783.96, 26,618.02 and 13,102.09

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Solution

The fourth proportional to 17,783.96, 26,618.02 and 13,102.09 is: 19,610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.96 : 26,618.02 = 13,102.09 : x
  2. Step 2: Convert to fraction form
    17,783.96/26,618.02 = 13,102.09/x
  3. Step 3: Cross multiply
    17,783.96x = 26,618.02 × 13,102.09
  4. Step 4: Simplify right side
    17,783.96x = 348,751,594.36
  5. Step 5: Solve for x
    x = 348,751,594.36/17,783.96
  6. Step 6: Final answer
    x = 19,610.46

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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.