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Finding the Fourth Proportional to 16,277.64, 22,454.90 and 10,299.24

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Solution

The fourth proportional to 16,277.64, 22,454.90 and 10,299.24 is: 14,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.64 : 22,454.90 = 10,299.24 : x
  2. Step 2: Convert to fraction form
    16,277.64/22,454.90 = 10,299.24/x
  3. Step 3: Cross multiply
    16,277.64x = 22,454.90 × 10,299.24
  4. Step 4: Simplify right side
    16,277.64x = 231,268,404.28
  5. Step 5: Solve for x
    x = 231,268,404.28/16,277.64
  6. Step 6: Final answer
    x = 14,207.74

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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.