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Finding the Fourth Proportional to 14,185.63, 21,282.21 and 4,325

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Solution

The fourth proportional to 14,185.63, 21,282.21 and 4,325 is: 6,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.63 : 21,282.21 = 4,325 : x
  2. Step 2: Convert to fraction form
    14,185.63/21,282.21 = 4,325/x
  3. Step 3: Cross multiply
    14,185.63x = 21,282.21 × 4,325
  4. Step 4: Simplify right side
    14,185.63x = 92,045,558.25
  5. Step 5: Solve for x
    x = 92,045,558.25/14,185.63
  6. Step 6: Final answer
    x = 6,488.65

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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.