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Finding the Fourth Proportional to 22,421.85, 30,942.15 and 12,350.28

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Solution

The fourth proportional to 22,421.85, 30,942.15 and 12,350.28 is: 17,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.85 : 30,942.15 = 12,350.28 : x
  2. Step 2: Convert to fraction form
    22,421.85/30,942.15 = 12,350.28/x
  3. Step 3: Cross multiply
    22,421.85x = 30,942.15 × 12,350.28
  4. Step 4: Simplify right side
    22,421.85x = 382,144,216.30
  5. Step 5: Solve for x
    x = 382,144,216.30/22,421.85
  6. Step 6: Final answer
    x = 17,043.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.