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Finding the Fourth Proportional to 16,901, 25,351.60 and 4,589

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Solution

The fourth proportional to 16,901, 25,351.60 and 4,589 is: 6,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901 : 25,351.60 = 4,589 : x
  2. Step 2: Convert to fraction form
    16,901/25,351.60 = 4,589/x
  3. Step 3: Cross multiply
    16,901x = 25,351.60 × 4,589
  4. Step 4: Simplify right side
    16,901x = 116,338,492.40
  5. Step 5: Solve for x
    x = 116,338,492.40/16,901
  6. Step 6: Final answer
    x = 6,883.53

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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.