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Finding the Fourth Proportional to 12,728.80, 19,093.20 and 9,448.30

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Solution

The fourth proportional to 12,728.80, 19,093.20 and 9,448.30 is: 14,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.80 : 19,093.20 = 9,448.30 : x
  2. Step 2: Convert to fraction form
    12,728.80/19,093.20 = 9,448.30/x
  3. Step 3: Cross multiply
    12,728.80x = 19,093.20 × 9,448.30
  4. Step 4: Simplify right side
    12,728.80x = 180,398,281.56
  5. Step 5: Solve for x
    x = 180,398,281.56/12,728.80
  6. Step 6: Final answer
    x = 14,172.45

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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.