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Finding the Fourth Proportional to 16,594.50, 24,891.84 and 4,282.50

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Solution

The fourth proportional to 16,594.50, 24,891.84 and 4,282.50 is: 6,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.50 : 24,891.84 = 4,282.50 : x
  2. Step 2: Convert to fraction form
    16,594.50/24,891.84 = 4,282.50/x
  3. Step 3: Cross multiply
    16,594.50x = 24,891.84 × 4,282.50
  4. Step 4: Simplify right side
    16,594.50x = 106,599,304.80
  5. Step 5: Solve for x
    x = 106,599,304.80/16,594.50
  6. Step 6: Final answer
    x = 6,423.77

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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.