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Finding the Fourth Proportional to 28,031.94, 38,684.12 and 17,960.40

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Solution

The fourth proportional to 28,031.94, 38,684.12 and 17,960.40 is: 24,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,031.94 : 38,684.12 = 17,960.40 : x
  2. Step 2: Convert to fraction form
    28,031.94/38,684.12 = 17,960.40/x
  3. Step 3: Cross multiply
    28,031.94x = 38,684.12 × 17,960.40
  4. Step 4: Simplify right side
    28,031.94x = 694,782,179.05
  5. Step 5: Solve for x
    x = 694,782,179.05/28,031.94
  6. Step 6: Final answer
    x = 24,785.38

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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.