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Finding the Fourth Proportional to 19,868.64, 29,802.61 and 8,022.11

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Solution

The fourth proportional to 19,868.64, 29,802.61 and 8,022.11 is: 12,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868.64 : 29,802.61 = 8,022.11 : x
  2. Step 2: Convert to fraction form
    19,868.64/29,802.61 = 8,022.11/x
  3. Step 3: Cross multiply
    19,868.64x = 29,802.61 × 8,022.11
  4. Step 4: Simplify right side
    19,868.64x = 239,079,905.62
  5. Step 5: Solve for x
    x = 239,079,905.62/19,868.64
  6. Step 6: Final answer
    x = 12,033.03

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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.