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Finding the Fourth Proportional to 17,624.75, 24,322.49 and 9,667.38

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Solution

The fourth proportional to 17,624.75, 24,322.49 and 9,667.38 is: 13,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.75 : 24,322.49 = 9,667.38 : x
  2. Step 2: Convert to fraction form
    17,624.75/24,322.49 = 9,667.38/x
  3. Step 3: Cross multiply
    17,624.75x = 24,322.49 × 9,667.38
  4. Step 4: Simplify right side
    17,624.75x = 235,134,583.43
  5. Step 5: Solve for x
    x = 235,134,583.43/17,624.75
  6. Step 6: Final answer
    x = 13,341.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.