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Finding the Fourth Proportional to 38,884.84, 58,315.12 and 12,584.16

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Solution

The fourth proportional to 38,884.84, 58,315.12 and 12,584.16 is: 18,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884.84 : 58,315.12 = 12,584.16 : x
  2. Step 2: Convert to fraction form
    38,884.84/58,315.12 = 12,584.16/x
  3. Step 3: Cross multiply
    38,884.84x = 58,315.12 × 12,584.16
  4. Step 4: Simplify right side
    38,884.84x = 733,846,800.50
  5. Step 5: Solve for x
    x = 733,846,800.50/38,884.84
  6. Step 6: Final answer
    x = 18,872.31

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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.