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Finding the Fourth Proportional to 14,652.30, 20,200.09 and 9,272.06

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Solution

The fourth proportional to 14,652.30, 20,200.09 and 9,272.06 is: 12,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.30 : 20,200.09 = 9,272.06 : x
  2. Step 2: Convert to fraction form
    14,652.30/20,200.09 = 9,272.06/x
  3. Step 3: Cross multiply
    14,652.30x = 20,200.09 × 9,272.06
  4. Step 4: Simplify right side
    14,652.30x = 187,296,446.49
  5. Step 5: Solve for x
    x = 187,296,446.49/14,652.30
  6. Step 6: Final answer
    x = 12,782.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.