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Finding the Fourth Proportional to 17,667.65, 24,381.57 and 9,709.82

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Solution

The fourth proportional to 17,667.65, 24,381.57 and 9,709.82 is: 13,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.65 : 24,381.57 = 9,709.82 : x
  2. Step 2: Convert to fraction form
    17,667.65/24,381.57 = 9,709.82/x
  3. Step 3: Cross multiply
    17,667.65x = 24,381.57 × 9,709.82
  4. Step 4: Simplify right side
    17,667.65x = 236,740,656.02
  5. Step 5: Solve for x
    x = 236,740,656.02/17,667.65
  6. Step 6: Final answer
    x = 13,399.67

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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.