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Finding the Fourth Proportional to 20,382.50, 28,118.94 and 14,419.28

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Solution

The fourth proportional to 20,382.50, 28,118.94 and 14,419.28 is: 19,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.50 : 28,118.94 = 14,419.28 : x
  2. Step 2: Convert to fraction form
    20,382.50/28,118.94 = 14,419.28/x
  3. Step 3: Cross multiply
    20,382.50x = 28,118.94 × 14,419.28
  4. Step 4: Simplify right side
    20,382.50x = 405,454,869.16
  5. Step 5: Solve for x
    x = 405,454,869.16/20,382.50
  6. Step 6: Final answer
    x = 19,892.30

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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.