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Finding the Fourth Proportional to 14,751.62, 20,361.53 and 9,647.86

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Solution

The fourth proportional to 14,751.62, 20,361.53 and 9,647.86 is: 13,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751.62 : 20,361.53 = 9,647.86 : x
  2. Step 2: Convert to fraction form
    14,751.62/20,361.53 = 9,647.86/x
  3. Step 3: Cross multiply
    14,751.62x = 20,361.53 × 9,647.86
  4. Step 4: Simplify right side
    14,751.62x = 196,445,147.95
  5. Step 5: Solve for x
    x = 196,445,147.95/14,751.62
  6. Step 6: Final answer
    x = 13,316.85

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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.