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Finding the Fourth Proportional to 16,156, 24,234 and 4,309.81

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Solution

The fourth proportional to 16,156, 24,234 and 4,309.81 is: 6,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156 : 24,234 = 4,309.81 : x
  2. Step 2: Convert to fraction form
    16,156/24,234 = 4,309.81/x
  3. Step 3: Cross multiply
    16,156x = 24,234 × 4,309.81
  4. Step 4: Simplify right side
    16,156x = 104,443,935.54
  5. Step 5: Solve for x
    x = 104,443,935.54/16,156
  6. Step 6: Final answer
    x = 6,464.72

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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.