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Finding the Fourth Proportional to 13,539.60, 20,277.72 and 11,710.80

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Solution

The fourth proportional to 13,539.60, 20,277.72 and 11,710.80 is: 17,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.60 : 20,277.72 = 11,710.80 : x
  2. Step 2: Convert to fraction form
    13,539.60/20,277.72 = 11,710.80/x
  3. Step 3: Cross multiply
    13,539.60x = 20,277.72 × 11,710.80
  4. Step 4: Simplify right side
    13,539.60x = 237,468,323.38
  5. Step 5: Solve for x
    x = 237,468,323.38/13,539.60
  6. Step 6: Final answer
    x = 17,538.80

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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.