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Finding the Fourth Proportional to 13,423.94, 20,127.64 and 4,538.43

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Solution

The fourth proportional to 13,423.94, 20,127.64 and 4,538.43 is: 6,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.94 : 20,127.64 = 4,538.43 : x
  2. Step 2: Convert to fraction form
    13,423.94/20,127.64 = 4,538.43/x
  3. Step 3: Cross multiply
    13,423.94x = 20,127.64 × 4,538.43
  4. Step 4: Simplify right side
    13,423.94x = 91,347,885.21
  5. Step 5: Solve for x
    x = 91,347,885.21/13,423.94
  6. Step 6: Final answer
    x = 6,804.85

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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.