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Finding the Fourth Proportional to 23,690.34, 35,504.69 and 9,633.98

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Solution

The fourth proportional to 23,690.34, 35,504.69 and 9,633.98 is: 14,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,690.34 : 35,504.69 = 9,633.98 : x
  2. Step 2: Convert to fraction form
    23,690.34/35,504.69 = 9,633.98/x
  3. Step 3: Cross multiply
    23,690.34x = 35,504.69 × 9,633.98
  4. Step 4: Simplify right side
    23,690.34x = 342,051,586.21
  5. Step 5: Solve for x
    x = 342,051,586.21/23,690.34
  6. Step 6: Final answer
    x = 14,438.44

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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.