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Finding the Fourth Proportional to 22,153, 30,571.14 and 12,217

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Solution

The fourth proportional to 22,153, 30,571.14 and 12,217 is: 16,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153 : 30,571.14 = 12,217 : x
  2. Step 2: Convert to fraction form
    22,153/30,571.14 = 12,217/x
  3. Step 3: Cross multiply
    22,153x = 30,571.14 × 12,217
  4. Step 4: Simplify right side
    22,153x = 373,487,617.38
  5. Step 5: Solve for x
    x = 373,487,617.38/22,153
  6. Step 6: Final answer
    x = 16,859.46

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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.