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Finding the Fourth Proportional to 16,495.27, 24,742.96 and 4,015.30

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Solution

The fourth proportional to 16,495.27, 24,742.96 and 4,015.30 is: 6,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.27 : 24,742.96 = 4,015.30 : x
  2. Step 2: Convert to fraction form
    16,495.27/24,742.96 = 4,015.30/x
  3. Step 3: Cross multiply
    16,495.27x = 24,742.96 × 4,015.30
  4. Step 4: Simplify right side
    16,495.27x = 99,350,263.50
  5. Step 5: Solve for x
    x = 99,350,263.50/16,495.27
  6. Step 6: Final answer
    x = 6,022.95

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Why These Related Problems?

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