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Finding the Fourth Proportional to 19,963.60, 29,942.94 and 6,817.28

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Solution

The fourth proportional to 19,963.60, 29,942.94 and 6,817.28 is: 10,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,963.60 : 29,942.94 = 6,817.28 : x
  2. Step 2: Convert to fraction form
    19,963.60/29,942.94 = 6,817.28/x
  3. Step 3: Cross multiply
    19,963.60x = 29,942.94 × 6,817.28
  4. Step 4: Simplify right side
    19,963.60x = 204,129,406.00
  5. Step 5: Solve for x
    x = 204,129,406.00/19,963.60
  6. Step 6: Final answer
    x = 10,225.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.