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Finding the Fourth Proportional to 11,953.80, 16,500.72 and 10,268.46

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Solution

The fourth proportional to 11,953.80, 16,500.72 and 10,268.46 is: 14,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.80 : 16,500.72 = 10,268.46 : x
  2. Step 2: Convert to fraction form
    11,953.80/16,500.72 = 10,268.46/x
  3. Step 3: Cross multiply
    11,953.80x = 16,500.72 × 10,268.46
  4. Step 4: Simplify right side
    11,953.80x = 169,436,983.29
  5. Step 5: Solve for x
    x = 169,436,983.29/11,953.80
  6. Step 6: Final answer
    x = 14,174.32

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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.