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Finding the Fourth Proportional to 17,174.16, 25,764.01 and 8,409.76

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Solution

The fourth proportional to 17,174.16, 25,764.01 and 8,409.76 is: 12,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174.16 : 25,764.01 = 8,409.76 : x
  2. Step 2: Convert to fraction form
    17,174.16/25,764.01 = 8,409.76/x
  3. Step 3: Cross multiply
    17,174.16x = 25,764.01 × 8,409.76
  4. Step 4: Simplify right side
    17,174.16x = 216,669,055.30
  5. Step 5: Solve for x
    x = 216,669,055.30/17,174.16
  6. Step 6: Final answer
    x = 12,615.99

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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.