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Finding the Fourth Proportional to 13,935.46, 20,905.29 and 4,073.50

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Solution

The fourth proportional to 13,935.46, 20,905.29 and 4,073.50 is: 6,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.46 : 20,905.29 = 4,073.50 : x
  2. Step 2: Convert to fraction form
    13,935.46/20,905.29 = 4,073.50/x
  3. Step 3: Cross multiply
    13,935.46x = 20,905.29 × 4,073.50
  4. Step 4: Simplify right side
    13,935.46x = 85,157,698.82
  5. Step 5: Solve for x
    x = 85,157,698.82/13,935.46
  6. Step 6: Final answer
    x = 6,110.86

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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.