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Finding the Fourth Proportional to 13,539.96, 20,312.37 and 11,605.68

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Solution

The fourth proportional to 13,539.96, 20,312.37 and 11,605.68 is: 17,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.96 : 20,312.37 = 11,605.68 : x
  2. Step 2: Convert to fraction form
    13,539.96/20,312.37 = 11,605.68/x
  3. Step 3: Cross multiply
    13,539.96x = 20,312.37 × 11,605.68
  4. Step 4: Simplify right side
    13,539.96x = 235,738,866.26
  5. Step 5: Solve for x
    x = 235,738,866.26/13,539.96
  6. Step 6: Final answer
    x = 17,410.60

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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.