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Finding the Fourth Proportional to 39,988, 59,983.08 and 12,286

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Solution

The fourth proportional to 39,988, 59,983.08 and 12,286 is: 18,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,988 : 59,983.08 = 12,286 : x
  2. Step 2: Convert to fraction form
    39,988/59,983.08 = 12,286/x
  3. Step 3: Cross multiply
    39,988x = 59,983.08 × 12,286
  4. Step 4: Simplify right side
    39,988x = 736,952,120.88
  5. Step 5: Solve for x
    x = 736,952,120.88/39,988
  6. Step 6: Final answer
    x = 18,429.33

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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.