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Finding the Fourth Proportional to 18,428.50, 27,642.75 and 6,116.50

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Solution

The fourth proportional to 18,428.50, 27,642.75 and 6,116.50 is: 9,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,428.50 : 27,642.75 = 6,116.50 : x
  2. Step 2: Convert to fraction form
    18,428.50/27,642.75 = 6,116.50/x
  3. Step 3: Cross multiply
    18,428.50x = 27,642.75 × 6,116.50
  4. Step 4: Simplify right side
    18,428.50x = 169,076,880.38
  5. Step 5: Solve for x
    x = 169,076,880.38/18,428.50
  6. Step 6: Final answer
    x = 9,174.75

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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.