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Finding the Fourth Proportional to 13,668.16, 20,485.78 and 5,767.63

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Solution

The fourth proportional to 13,668.16, 20,485.78 and 5,767.63 is: 8,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.16 : 20,485.78 = 5,767.63 : x
  2. Step 2: Convert to fraction form
    13,668.16/20,485.78 = 5,767.63/x
  3. Step 3: Cross multiply
    13,668.16x = 20,485.78 × 5,767.63
  4. Step 4: Simplify right side
    13,668.16x = 118,154,399.30
  5. Step 5: Solve for x
    x = 118,154,399.30/13,668.16
  6. Step 6: Final answer
    x = 8,644.50

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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.