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Finding the Fourth Proportional to 16,277.64, 24,414.30 and 4,591.80

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Solution

The fourth proportional to 16,277.64, 24,414.30 and 4,591.80 is: 6,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.64 : 24,414.30 = 4,591.80 : x
  2. Step 2: Convert to fraction form
    16,277.64/24,414.30 = 4,591.80/x
  3. Step 3: Cross multiply
    16,277.64x = 24,414.30 × 4,591.80
  4. Step 4: Simplify right side
    16,277.64x = 112,105,582.74
  5. Step 5: Solve for x
    x = 112,105,582.74/16,277.64
  6. Step 6: Final answer
    x = 6,887.09

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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.