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Finding the Fourth Proportional to 16,463.40, 24,696.72 and 5,369.64

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Solution

The fourth proportional to 16,463.40, 24,696.72 and 5,369.64 is: 8,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.40 : 24,696.72 = 5,369.64 : x
  2. Step 2: Convert to fraction form
    16,463.40/24,696.72 = 5,369.64/x
  3. Step 3: Cross multiply
    16,463.40x = 24,696.72 × 5,369.64
  4. Step 4: Simplify right side
    16,463.40x = 132,612,495.58
  5. Step 5: Solve for x
    x = 132,612,495.58/16,463.40
  6. Step 6: Final answer
    x = 8,054.99

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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.