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Finding the Fourth Proportional to 14,104.50, 19,464.21 and 7,817.28

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Solution

The fourth proportional to 14,104.50, 19,464.21 and 7,817.28 is: 10,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.50 : 19,464.21 = 7,817.28 : x
  2. Step 2: Convert to fraction form
    14,104.50/19,464.21 = 7,817.28/x
  3. Step 3: Cross multiply
    14,104.50x = 19,464.21 × 7,817.28
  4. Step 4: Simplify right side
    14,104.50x = 152,157,179.55
  5. Step 5: Solve for x
    x = 152,157,179.55/14,104.50
  6. Step 6: Final answer
    x = 10,787.85

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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.