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Finding the Fourth Proportional to 17,023.20, 25,534.80 and 16,216.80

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Solution

The fourth proportional to 17,023.20, 25,534.80 and 16,216.80 is: 24,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.20 : 25,534.80 = 16,216.80 : x
  2. Step 2: Convert to fraction form
    17,023.20/25,534.80 = 16,216.80/x
  3. Step 3: Cross multiply
    17,023.20x = 25,534.80 × 16,216.80
  4. Step 4: Simplify right side
    17,023.20x = 414,092,744.64
  5. Step 5: Solve for x
    x = 414,092,744.64/17,023.20
  6. Step 6: Final answer
    x = 24,325.20

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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.