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Finding the Fourth Proportional to 17,184.80, 25,777.20 and 8,436.80

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Solution

The fourth proportional to 17,184.80, 25,777.20 and 8,436.80 is: 12,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.80 : 25,777.20 = 8,436.80 : x
  2. Step 2: Convert to fraction form
    17,184.80/25,777.20 = 8,436.80/x
  3. Step 3: Cross multiply
    17,184.80x = 25,777.20 × 8,436.80
  4. Step 4: Simplify right side
    17,184.80x = 217,477,080.96
  5. Step 5: Solve for x
    x = 217,477,080.96/17,184.80
  6. Step 6: Final answer
    x = 12,655.20

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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.