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Finding the Fourth Proportional to 16,363, 24,544.50 and 4,051

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Solution

The fourth proportional to 16,363, 24,544.50 and 4,051 is: 6,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,363 : 24,544.50 = 4,051 : x
  2. Step 2: Convert to fraction form
    16,363/24,544.50 = 4,051/x
  3. Step 3: Cross multiply
    16,363x = 24,544.50 × 4,051
  4. Step 4: Simplify right side
    16,363x = 99,429,769.50
  5. Step 5: Solve for x
    x = 99,429,769.50/16,363
  6. Step 6: Final answer
    x = 6,076.50

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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.