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Finding the Fourth Proportional to 14,672.88, 20,242.26 and 9,895.91

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Solution

The fourth proportional to 14,672.88, 20,242.26 and 9,895.91 is: 13,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672.88 : 20,242.26 = 9,895.91 : x
  2. Step 2: Convert to fraction form
    14,672.88/20,242.26 = 9,895.91/x
  3. Step 3: Cross multiply
    14,672.88x = 20,242.26 × 9,895.91
  4. Step 4: Simplify right side
    14,672.88x = 200,315,481.95
  5. Step 5: Solve for x
    x = 200,315,481.95/14,672.88
  6. Step 6: Final answer
    x = 13,652.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.