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Finding the Fourth Proportional to 13,365.42, 20,034.90 and 6,333

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Solution

The fourth proportional to 13,365.42, 20,034.90 and 6,333 is: 9,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.42 : 20,034.90 = 6,333 : x
  2. Step 2: Convert to fraction form
    13,365.42/20,034.90 = 6,333/x
  3. Step 3: Cross multiply
    13,365.42x = 20,034.90 × 6,333
  4. Step 4: Simplify right side
    13,365.42x = 126,881,021.70
  5. Step 5: Solve for x
    x = 126,881,021.70/13,365.42
  6. Step 6: Final answer
    x = 9,493.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.