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Finding the Fourth Proportional to 15,747.42, 21,729.18 and 9,033.34

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Solution

The fourth proportional to 15,747.42, 21,729.18 and 9,033.34 is: 12,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747.42 : 21,729.18 = 9,033.34 : x
  2. Step 2: Convert to fraction form
    15,747.42/21,729.18 = 9,033.34/x
  3. Step 3: Cross multiply
    15,747.42x = 21,729.18 × 9,033.34
  4. Step 4: Simplify right side
    15,747.42x = 196,287,070.86
  5. Step 5: Solve for x
    x = 196,287,070.86/15,747.42
  6. Step 6: Final answer
    x = 12,464.71

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