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Finding the Fourth Proportional to 22,782.67, 34,179.02 and 6,989.88

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Solution

The fourth proportional to 22,782.67, 34,179.02 and 6,989.88 is: 10,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.67 : 34,179.02 = 6,989.88 : x
  2. Step 2: Convert to fraction form
    22,782.67/34,179.02 = 6,989.88/x
  3. Step 3: Cross multiply
    22,782.67x = 34,179.02 × 6,989.88
  4. Step 4: Simplify right side
    22,782.67x = 238,907,248.32
  5. Step 5: Solve for x
    x = 238,907,248.32/22,782.67
  6. Step 6: Final answer
    x = 10,486.36

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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.