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Finding the Fourth Proportional to 13,537.16, 20,318.05 and 9,403.73

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Solution

The fourth proportional to 13,537.16, 20,318.05 and 9,403.73 is: 14,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.16 : 20,318.05 = 9,403.73 : x
  2. Step 2: Convert to fraction form
    13,537.16/20,318.05 = 9,403.73/x
  3. Step 3: Cross multiply
    13,537.16x = 20,318.05 × 9,403.73
  4. Step 4: Simplify right side
    13,537.16x = 191,065,456.33
  5. Step 5: Solve for x
    x = 191,065,456.33/13,537.16
  6. Step 6: Final answer
    x = 14,114.15

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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.