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Finding the Fourth Proportional to 27,209.52, 40,801.32 and 9,674.64

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Solution

The fourth proportional to 27,209.52, 40,801.32 and 9,674.64 is: 14,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,209.52 : 40,801.32 = 9,674.64 : x
  2. Step 2: Convert to fraction form
    27,209.52/40,801.32 = 9,674.64/x
  3. Step 3: Cross multiply
    27,209.52x = 40,801.32 × 9,674.64
  4. Step 4: Simplify right side
    27,209.52x = 394,738,082.52
  5. Step 5: Solve for x
    x = 394,738,082.52/27,209.52
  6. Step 6: Final answer
    x = 14,507.35

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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.