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Finding the Fourth Proportional to 16,673, 25,009.74 and 4,361

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Solution

The fourth proportional to 16,673, 25,009.74 and 4,361 is: 6,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,673 : 25,009.74 = 4,361 : x
  2. Step 2: Convert to fraction form
    16,673/25,009.74 = 4,361/x
  3. Step 3: Cross multiply
    16,673x = 25,009.74 × 4,361
  4. Step 4: Simplify right side
    16,673x = 109,067,476.14
  5. Step 5: Solve for x
    x = 109,067,476.14/16,673
  6. Step 6: Final answer
    x = 6,541.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.