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Finding the Fourth Proportional to 13,539.92, 18,685.16 and 7,571.60

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Solution

The fourth proportional to 13,539.92, 18,685.16 and 7,571.60 is: 10,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539.92 : 18,685.16 = 7,571.60 : x
  2. Step 2: Convert to fraction form
    13,539.92/18,685.16 = 7,571.60/x
  3. Step 3: Cross multiply
    13,539.92x = 18,685.16 × 7,571.60
  4. Step 4: Simplify right side
    13,539.92x = 141,476,426.17
  5. Step 5: Solve for x
    x = 141,476,426.17/13,539.92
  6. Step 6: Final answer
    x = 10,448.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.