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Finding the Fourth Proportional to 23,667.42, 35,514.72 and 9,624.86

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Solution

The fourth proportional to 23,667.42, 35,514.72 and 9,624.86 is: 14,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.42 : 35,514.72 = 9,624.86 : x
  2. Step 2: Convert to fraction form
    23,667.42/35,514.72 = 9,624.86/x
  3. Step 3: Cross multiply
    23,667.42x = 35,514.72 × 9,624.86
  4. Step 4: Simplify right side
    23,667.42x = 341,824,163.55
  5. Step 5: Solve for x
    x = 341,824,163.55/23,667.42
  6. Step 6: Final answer
    x = 14,442.81

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