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Finding the Fourth Proportional to 13,827.52, 20,739 and 5,931.31

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Solution

The fourth proportional to 13,827.52, 20,739 and 5,931.31 is: 8,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.52 : 20,739 = 5,931.31 : x
  2. Step 2: Convert to fraction form
    13,827.52/20,739 = 5,931.31/x
  3. Step 3: Cross multiply
    13,827.52x = 20,739 × 5,931.31
  4. Step 4: Simplify right side
    13,827.52x = 123,009,438.09
  5. Step 5: Solve for x
    x = 123,009,438.09/13,827.52
  6. Step 6: Final answer
    x = 8,895.99

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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.