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Finding the Fourth Proportional to 12,685.80, 19,028.70 and 9,405.30

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Solution

The fourth proportional to 12,685.80, 19,028.70 and 9,405.30 is: 14,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.80 : 19,028.70 = 9,405.30 : x
  2. Step 2: Convert to fraction form
    12,685.80/19,028.70 = 9,405.30/x
  3. Step 3: Cross multiply
    12,685.80x = 19,028.70 × 9,405.30
  4. Step 4: Simplify right side
    12,685.80x = 178,970,632.11
  5. Step 5: Solve for x
    x = 178,970,632.11/12,685.80
  6. Step 6: Final answer
    x = 14,107.95

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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.