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Finding the Fourth Proportional to 17,624.85, 24,322.10 and 9,667.05

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Solution

The fourth proportional to 17,624.85, 24,322.10 and 9,667.05 is: 13,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.85 : 24,322.10 = 9,667.05 : x
  2. Step 2: Convert to fraction form
    17,624.85/24,322.10 = 9,667.05/x
  3. Step 3: Cross multiply
    17,624.85x = 24,322.10 × 9,667.05
  4. Step 4: Simplify right side
    17,624.85x = 235,122,908.47
  5. Step 5: Solve for x
    x = 235,122,908.47/17,624.85
  6. Step 6: Final answer
    x = 13,340.42

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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.