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Finding the Fourth Proportional to 22,355.32, 30,850.92 and 12,284

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Solution

The fourth proportional to 22,355.32, 30,850.92 and 12,284 is: 16,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,355.32 : 30,850.92 = 12,284 : x
  2. Step 2: Convert to fraction form
    22,355.32/30,850.92 = 12,284/x
  3. Step 3: Cross multiply
    22,355.32x = 30,850.92 × 12,284
  4. Step 4: Simplify right side
    22,355.32x = 378,972,701.28
  5. Step 5: Solve for x
    x = 378,972,701.28/22,355.32
  6. Step 6: Final answer
    x = 16,952.24

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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.