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Finding the Fourth Proportional to 13,871.66, 20,803.13 and 4,635.50

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Solution

The fourth proportional to 13,871.66, 20,803.13 and 4,635.50 is: 6,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.66 : 20,803.13 = 4,635.50 : x
  2. Step 2: Convert to fraction form
    13,871.66/20,803.13 = 4,635.50/x
  3. Step 3: Cross multiply
    13,871.66x = 20,803.13 × 4,635.50
  4. Step 4: Simplify right side
    13,871.66x = 96,432,909.12
  5. Step 5: Solve for x
    x = 96,432,909.12/13,871.66
  6. Step 6: Final answer
    x = 6,951.79

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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.