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Finding the Fourth Proportional to 15,992.03, 22,068.46 and 8,822.23

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Solution

The fourth proportional to 15,992.03, 22,068.46 and 8,822.23 is: 12,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.03 : 22,068.46 = 8,822.23 : x
  2. Step 2: Convert to fraction form
    15,992.03/22,068.46 = 8,822.23/x
  3. Step 3: Cross multiply
    15,992.03x = 22,068.46 × 8,822.23
  4. Step 4: Simplify right side
    15,992.03x = 194,693,029.87
  5. Step 5: Solve for x
    x = 194,693,029.87/15,992.03
  6. Step 6: Final answer
    x = 12,174.38

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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.