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Finding the Fourth Proportional to 14,675.89, 20,261.46 and 9,649.03

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Solution

The fourth proportional to 14,675.89, 20,261.46 and 9,649.03 is: 13,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675.89 : 20,261.46 = 9,649.03 : x
  2. Step 2: Convert to fraction form
    14,675.89/20,261.46 = 9,649.03/x
  3. Step 3: Cross multiply
    14,675.89x = 20,261.46 × 9,649.03
  4. Step 4: Simplify right side
    14,675.89x = 195,503,435.38
  5. Step 5: Solve for x
    x = 195,503,435.38/14,675.89
  6. Step 6: Final answer
    x = 13,321.40

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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.