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Finding the Fourth Proportional to 23,464.08, 35,197.20 and 9,612

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Solution

The fourth proportional to 23,464.08, 35,197.20 and 9,612 is: 14,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.08 : 35,197.20 = 9,612 : x
  2. Step 2: Convert to fraction form
    23,464.08/35,197.20 = 9,612/x
  3. Step 3: Cross multiply
    23,464.08x = 35,197.20 × 9,612
  4. Step 4: Simplify right side
    23,464.08x = 338,315,486.40
  5. Step 5: Solve for x
    x = 338,315,486.40/23,464.08
  6. Step 6: Final answer
    x = 14,418.44

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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.