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Finding the Fourth Proportional to 19,922.56, 29,880.50 and 5,882.32

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Solution

The fourth proportional to 19,922.56, 29,880.50 and 5,882.32 is: 8,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.56 : 29,880.50 = 5,882.32 : x
  2. Step 2: Convert to fraction form
    19,922.56/29,880.50 = 5,882.32/x
  3. Step 3: Cross multiply
    19,922.56x = 29,880.50 × 5,882.32
  4. Step 4: Simplify right side
    19,922.56x = 175,766,670.70
  5. Step 5: Solve for x
    x = 175,766,670.70/19,922.56
  6. Step 6: Final answer
    x = 8,822.50

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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.