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Finding the Fourth Proportional to 18,602.96, 27,902.28 and 6,914.84

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Solution

The fourth proportional to 18,602.96, 27,902.28 and 6,914.84 is: 10,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,602.96 : 27,902.28 = 6,914.84 : x
  2. Step 2: Convert to fraction form
    18,602.96/27,902.28 = 6,914.84/x
  3. Step 3: Cross multiply
    18,602.96x = 27,902.28 × 6,914.84
  4. Step 4: Simplify right side
    18,602.96x = 192,939,801.84
  5. Step 5: Solve for x
    x = 192,939,801.84/18,602.96
  6. Step 6: Final answer
    x = 10,371.46

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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.