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Finding the Fourth Proportional to 16,433.65, 22,678.46 and 8,880

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Solution

The fourth proportional to 16,433.65, 22,678.46 and 8,880 is: 12,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.65 : 22,678.46 = 8,880 : x
  2. Step 2: Convert to fraction form
    16,433.65/22,678.46 = 8,880/x
  3. Step 3: Cross multiply
    16,433.65x = 22,678.46 × 8,880
  4. Step 4: Simplify right side
    16,433.65x = 201,384,724.80
  5. Step 5: Solve for x
    x = 201,384,724.80/16,433.65
  6. Step 6: Final answer
    x = 12,254.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.