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Finding the Fourth Proportional to 17,085.20, 25,623 and 8,320.40

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Solution

The fourth proportional to 17,085.20, 25,623 and 8,320.40 is: 12,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.20 : 25,623 = 8,320.40 : x
  2. Step 2: Convert to fraction form
    17,085.20/25,623 = 8,320.40/x
  3. Step 3: Cross multiply
    17,085.20x = 25,623 × 8,320.40
  4. Step 4: Simplify right side
    17,085.20x = 213,193,609.20
  5. Step 5: Solve for x
    x = 213,193,609.20/17,085.20
  6. Step 6: Final answer
    x = 12,478.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.