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Finding the Fourth Proportional to 23,776.42, 35,634.11 and 8,967.70

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Solution

The fourth proportional to 23,776.42, 35,634.11 and 8,967.70 is: 13,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.42 : 35,634.11 = 8,967.70 : x
  2. Step 2: Convert to fraction form
    23,776.42/35,634.11 = 8,967.70/x
  3. Step 3: Cross multiply
    23,776.42x = 35,634.11 × 8,967.70
  4. Step 4: Simplify right side
    23,776.42x = 319,556,008.25
  5. Step 5: Solve for x
    x = 319,556,008.25/23,776.42
  6. Step 6: Final answer
    x = 13,440.04

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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.