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Finding the Fourth Proportional to 28,264, 38,997.79 and 16,931.38

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Solution

The fourth proportional to 28,264, 38,997.79 and 16,931.38 is: 23,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,264 : 38,997.79 = 16,931.38 : x
  2. Step 2: Convert to fraction form
    28,264/38,997.79 = 16,931.38/x
  3. Step 3: Cross multiply
    28,264x = 38,997.79 × 16,931.38
  4. Step 4: Simplify right side
    28,264x = 660,286,401.65
  5. Step 5: Solve for x
    x = 660,286,401.65/28,264
  6. Step 6: Final answer
    x = 23,361.39

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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.