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Finding the Fourth Proportional to 12,832.80, 19,249.20 and 9,722.40

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Solution

The fourth proportional to 12,832.80, 19,249.20 and 9,722.40 is: 14,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.80 : 19,249.20 = 9,722.40 : x
  2. Step 2: Convert to fraction form
    12,832.80/19,249.20 = 9,722.40/x
  3. Step 3: Cross multiply
    12,832.80x = 19,249.20 × 9,722.40
  4. Step 4: Simplify right side
    12,832.80x = 187,148,422.08
  5. Step 5: Solve for x
    x = 187,148,422.08/12,832.80
  6. Step 6: Final answer
    x = 14,583.60

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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.