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Finding the Fourth Proportional to 28,363.92, 39,142.16 and 16,427.84

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Solution

The fourth proportional to 28,363.92, 39,142.16 and 16,427.84 is: 22,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,363.92 : 39,142.16 = 16,427.84 : x
  2. Step 2: Convert to fraction form
    28,363.92/39,142.16 = 16,427.84/x
  3. Step 3: Cross multiply
    28,363.92x = 39,142.16 × 16,427.84
  4. Step 4: Simplify right side
    28,363.92x = 643,021,141.73
  5. Step 5: Solve for x
    x = 643,021,141.73/28,363.92
  6. Step 6: Final answer
    x = 22,670.39

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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.