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Finding the Fourth Proportional to 13,951.76, 20,930.70 and 4,594.64

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Solution

The fourth proportional to 13,951.76, 20,930.70 and 4,594.64 is: 6,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.76 : 20,930.70 = 4,594.64 : x
  2. Step 2: Convert to fraction form
    13,951.76/20,930.70 = 4,594.64/x
  3. Step 3: Cross multiply
    13,951.76x = 20,930.70 × 4,594.64
  4. Step 4: Simplify right side
    13,951.76x = 96,169,031.45
  5. Step 5: Solve for x
    x = 96,169,031.45/13,951.76
  6. Step 6: Final answer
    x = 6,892.97

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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.