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Finding the Fourth Proportional to 13,811.18, 20,716.80 and 3,422.93

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Solution

The fourth proportional to 13,811.18, 20,716.80 and 3,422.93 is: 5,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.18 : 20,716.80 = 3,422.93 : x
  2. Step 2: Convert to fraction form
    13,811.18/20,716.80 = 3,422.93/x
  3. Step 3: Cross multiply
    13,811.18x = 20,716.80 × 3,422.93
  4. Step 4: Simplify right side
    13,811.18x = 70,912,156.22
  5. Step 5: Solve for x
    x = 70,912,156.22/13,811.18
  6. Step 6: Final answer
    x = 5,134.40

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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.