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Finding the Fourth Proportional to 17,321.04, 25,985.40 and 8,082

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Solution

The fourth proportional to 17,321.04, 25,985.40 and 8,082 is: 12,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,321.04 : 25,985.40 = 8,082 : x
  2. Step 2: Convert to fraction form
    17,321.04/25,985.40 = 8,082/x
  3. Step 3: Cross multiply
    17,321.04x = 25,985.40 × 8,082
  4. Step 4: Simplify right side
    17,321.04x = 210,014,002.80
  5. Step 5: Solve for x
    x = 210,014,002.80/17,321.04
  6. Step 6: Final answer
    x = 12,124.79

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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.