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Finding the Fourth Proportional to 13,614, 20,423.83 and 4,253.64

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Solution

The fourth proportional to 13,614, 20,423.83 and 4,253.64 is: 6,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614 : 20,423.83 = 4,253.64 : x
  2. Step 2: Convert to fraction form
    13,614/20,423.83 = 4,253.64/x
  3. Step 3: Cross multiply
    13,614x = 20,423.83 × 4,253.64
  4. Step 4: Simplify right side
    13,614x = 86,875,620.24
  5. Step 5: Solve for x
    x = 86,875,620.24/13,614
  6. Step 6: Final answer
    x = 6,381.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.