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Finding the Fourth Proportional to 17,667.45, 24,380.59 and 9,709.67

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Solution

The fourth proportional to 17,667.45, 24,380.59 and 9,709.67 is: 13,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.45 : 24,380.59 = 9,709.67 : x
  2. Step 2: Convert to fraction form
    17,667.45/24,380.59 = 9,709.67/x
  3. Step 3: Cross multiply
    17,667.45x = 24,380.59 × 9,709.67
  4. Step 4: Simplify right side
    17,667.45x = 236,727,483.31
  5. Step 5: Solve for x
    x = 236,727,483.31/17,667.45
  6. Step 6: Final answer
    x = 13,399.07

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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.