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Finding the Fourth Proportional to 14,523.30, 20,043.72 and 8,235

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Solution

The fourth proportional to 14,523.30, 20,043.72 and 8,235 is: 11,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.30 : 20,043.72 = 8,235 : x
  2. Step 2: Convert to fraction form
    14,523.30/20,043.72 = 8,235/x
  3. Step 3: Cross multiply
    14,523.30x = 20,043.72 × 8,235
  4. Step 4: Simplify right side
    14,523.30x = 165,060,034.20
  5. Step 5: Solve for x
    x = 165,060,034.20/14,523.30
  6. Step 6: Final answer
    x = 11,365.19

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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.