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Finding the Fourth Proportional to 14,364.50, 21,524.72 and 9,667.13

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Solution

The fourth proportional to 14,364.50, 21,524.72 and 9,667.13 is: 14,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.50 : 21,524.72 = 9,667.13 : x
  2. Step 2: Convert to fraction form
    14,364.50/21,524.72 = 9,667.13/x
  3. Step 3: Cross multiply
    14,364.50x = 21,524.72 × 9,667.13
  4. Step 4: Simplify right side
    14,364.50x = 208,082,110.49
  5. Step 5: Solve for x
    x = 208,082,110.49/14,364.50
  6. Step 6: Final answer
    x = 14,485.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.