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Finding the Fourth Proportional to 17,874.83, 24,667.73 and 9,808.83

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Solution

The fourth proportional to 17,874.83, 24,667.73 and 9,808.83 is: 13,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.83 : 24,667.73 = 9,808.83 : x
  2. Step 2: Convert to fraction form
    17,874.83/24,667.73 = 9,808.83/x
  3. Step 3: Cross multiply
    17,874.83x = 24,667.73 × 9,808.83
  4. Step 4: Simplify right side
    17,874.83x = 241,961,570.06
  5. Step 5: Solve for x
    x = 241,961,570.06/17,874.83
  6. Step 6: Final answer
    x = 13,536.44

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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.