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Finding the Fourth Proportional to 16,335, 22,542.48 and 8,883

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Solution

The fourth proportional to 16,335, 22,542.48 and 8,883 is: 12,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335 : 22,542.48 = 8,883 : x
  2. Step 2: Convert to fraction form
    16,335/22,542.48 = 8,883/x
  3. Step 3: Cross multiply
    16,335x = 22,542.48 × 8,883
  4. Step 4: Simplify right side
    16,335x = 200,244,849.84
  5. Step 5: Solve for x
    x = 200,244,849.84/16,335
  6. Step 6: Final answer
    x = 12,258.64

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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.