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Finding the Fourth Proportional to 16,276.64, 24,435.12 and 16,201.76

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Solution

The fourth proportional to 16,276.64, 24,435.12 and 16,201.76 is: 24,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.64 : 24,435.12 = 16,201.76 : x
  2. Step 2: Convert to fraction form
    16,276.64/24,435.12 = 16,201.76/x
  3. Step 3: Cross multiply
    16,276.64x = 24,435.12 × 16,201.76
  4. Step 4: Simplify right side
    16,276.64x = 395,891,949.81
  5. Step 5: Solve for x
    x = 395,891,949.81/16,276.64
  6. Step 6: Final answer
    x = 24,322.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.