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Finding the Fourth Proportional to 17,667.21, 24,384.20 and 11,699.13

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Solution

The fourth proportional to 17,667.21, 24,384.20 and 11,699.13 is: 16,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.21 : 24,384.20 = 11,699.13 : x
  2. Step 2: Convert to fraction form
    17,667.21/24,384.20 = 11,699.13/x
  3. Step 3: Cross multiply
    17,667.21x = 24,384.20 × 11,699.13
  4. Step 4: Simplify right side
    17,667.21x = 285,273,867.25
  5. Step 5: Solve for x
    x = 285,273,867.25/17,667.21
  6. Step 6: Final answer
    x = 16,147.08

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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.