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Finding the Fourth Proportional to 19,932.80, 29,812.80 and 16,822.40

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Solution

The fourth proportional to 19,932.80, 29,812.80 and 16,822.40 is: 25,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,932.80 : 29,812.80 = 16,822.40 : x
  2. Step 2: Convert to fraction form
    19,932.80/29,812.80 = 16,822.40/x
  3. Step 3: Cross multiply
    19,932.80x = 29,812.80 × 16,822.40
  4. Step 4: Simplify right side
    19,932.80x = 501,522,846.72
  5. Step 5: Solve for x
    x = 501,522,846.72/19,932.80
  6. Step 6: Final answer
    x = 25,160.68

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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.