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Finding the Fourth Proportional to 18,683.60, 27,967.80 and 10,869.20

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Solution

The fourth proportional to 18,683.60, 27,967.80 and 10,869.20 is: 16,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,683.60 : 27,967.80 = 10,869.20 : x
  2. Step 2: Convert to fraction form
    18,683.60/27,967.80 = 10,869.20/x
  3. Step 3: Cross multiply
    18,683.60x = 27,967.80 × 10,869.20
  4. Step 4: Simplify right side
    18,683.60x = 303,987,611.76
  5. Step 5: Solve for x
    x = 303,987,611.76/18,683.60
  6. Step 6: Final answer
    x = 16,270.29

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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.