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Finding the Fourth Proportional to 16,264.64, 22,436.96 and 10,286.24

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Solution

The fourth proportional to 16,264.64, 22,436.96 and 10,286.24 is: 14,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.64 : 22,436.96 = 10,286.24 : x
  2. Step 2: Convert to fraction form
    16,264.64/22,436.96 = 10,286.24/x
  3. Step 3: Cross multiply
    16,264.64x = 22,436.96 × 10,286.24
  4. Step 4: Simplify right side
    16,264.64x = 230,791,955.43
  5. Step 5: Solve for x
    x = 230,791,955.43/16,264.64
  6. Step 6: Final answer
    x = 14,189.80

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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.