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Finding the Fourth Proportional to 13,354.93, 20,042.23 and 6,334.96

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Solution

The fourth proportional to 13,354.93, 20,042.23 and 6,334.96 is: 9,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.93 : 20,042.23 = 6,334.96 : x
  2. Step 2: Convert to fraction form
    13,354.93/20,042.23 = 6,334.96/x
  3. Step 3: Cross multiply
    13,354.93x = 20,042.23 × 6,334.96
  4. Step 4: Simplify right side
    13,354.93x = 126,966,717.78
  5. Step 5: Solve for x
    x = 126,966,717.78/13,354.93
  6. Step 6: Final answer
    x = 9,507.11

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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.