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Finding the Fourth Proportional to 14,563.08, 21,825.12 and 8,325

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Solution

The fourth proportional to 14,563.08, 21,825.12 and 8,325 is: 12,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.08 : 21,825.12 = 8,325 : x
  2. Step 2: Convert to fraction form
    14,563.08/21,825.12 = 8,325/x
  3. Step 3: Cross multiply
    14,563.08x = 21,825.12 × 8,325
  4. Step 4: Simplify right side
    14,563.08x = 181,694,124
  5. Step 5: Solve for x
    x = 181,694,124/14,563.08
  6. Step 6: Final answer
    x = 12,476.35

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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.