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Finding the Fourth Proportional to 16,223.44, 22,390 and 10,178

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Solution

The fourth proportional to 16,223.44, 22,390 and 10,178 is: 14,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.44 : 22,390 = 10,178 : x
  2. Step 2: Convert to fraction form
    16,223.44/22,390 = 10,178/x
  3. Step 3: Cross multiply
    16,223.44x = 22,390 × 10,178
  4. Step 4: Simplify right side
    16,223.44x = 227,885,420
  5. Step 5: Solve for x
    x = 227,885,420/16,223.44
  6. Step 6: Final answer
    x = 14,046.68

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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.