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Finding the Fourth Proportional to 11,954.80, 16,502.10 and 10,269.46

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Solution

The fourth proportional to 11,954.80, 16,502.10 and 10,269.46 is: 14,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.80 : 16,502.10 = 10,269.46 : x
  2. Step 2: Convert to fraction form
    11,954.80/16,502.10 = 10,269.46/x
  3. Step 3: Cross multiply
    11,954.80x = 16,502.10 × 10,269.46
  4. Step 4: Simplify right side
    11,954.80x = 169,467,655.87
  5. Step 5: Solve for x
    x = 169,467,655.87/11,954.80
  6. Step 6: Final answer
    x = 14,175.70

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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.