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Finding the Fourth Proportional to 16,297.50, 24,429.69 and 6,423.18

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Solution

The fourth proportional to 16,297.50, 24,429.69 and 6,423.18 is: 9,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.50 : 24,429.69 = 6,423.18 : x
  2. Step 2: Convert to fraction form
    16,297.50/24,429.69 = 6,423.18/x
  3. Step 3: Cross multiply
    16,297.50x = 24,429.69 × 6,423.18
  4. Step 4: Simplify right side
    16,297.50x = 156,916,296.21
  5. Step 5: Solve for x
    x = 156,916,296.21/16,297.50
  6. Step 6: Final answer
    x = 9,628.24

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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.