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Finding the Fourth Proportional to 17,323.74, 25,944.03 and 9,905.94

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Solution

The fourth proportional to 17,323.74, 25,944.03 and 9,905.94 is: 14,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,323.74 : 25,944.03 = 9,905.94 : x
  2. Step 2: Convert to fraction form
    17,323.74/25,944.03 = 9,905.94/x
  3. Step 3: Cross multiply
    17,323.74x = 25,944.03 × 9,905.94
  4. Step 4: Simplify right side
    17,323.74x = 257,000,004.54
  5. Step 5: Solve for x
    x = 257,000,004.54/17,323.74
  6. Step 6: Final answer
    x = 14,835.13

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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.