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Finding the Fourth Proportional to 16,277.28, 24,416 and 3,965.28

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Solution

The fourth proportional to 16,277.28, 24,416 and 3,965.28 is: 5,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.28 : 24,416 = 3,965.28 : x
  2. Step 2: Convert to fraction form
    16,277.28/24,416 = 3,965.28/x
  3. Step 3: Cross multiply
    16,277.28x = 24,416 × 3,965.28
  4. Step 4: Simplify right side
    16,277.28x = 96,816,276.48
  5. Step 5: Solve for x
    x = 96,816,276.48/16,277.28
  6. Step 6: Final answer
    x = 5,947.94

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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.