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Finding the Fourth Proportional to 13,486.24, 20,239.95 and 9,355.31

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Solution

The fourth proportional to 13,486.24, 20,239.95 and 9,355.31 is: 14,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.24 : 20,239.95 = 9,355.31 : x
  2. Step 2: Convert to fraction form
    13,486.24/20,239.95 = 9,355.31/x
  3. Step 3: Cross multiply
    13,486.24x = 20,239.95 × 9,355.31
  4. Step 4: Simplify right side
    13,486.24x = 189,351,103.95
  5. Step 5: Solve for x
    x = 189,351,103.95/13,486.24
  6. Step 6: Final answer
    x = 14,040.32

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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.