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Finding the Fourth Proportional to 16,903, 25,337.49 and 7,047.73

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Solution

The fourth proportional to 16,903, 25,337.49 and 7,047.73 is: 10,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,903 : 25,337.49 = 7,047.73 : x
  2. Step 2: Convert to fraction form
    16,903/25,337.49 = 7,047.73/x
  3. Step 3: Cross multiply
    16,903x = 25,337.49 × 7,047.73
  4. Step 4: Simplify right side
    16,903x = 178,571,788.40
  5. Step 5: Solve for x
    x = 178,571,788.40/16,903
  6. Step 6: Final answer
    x = 10,564.50

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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.