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Finding the Fourth Proportional to 12,817.80, 19,194.30 and 8,411.40

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Solution

The fourth proportional to 12,817.80, 19,194.30 and 8,411.40 is: 12,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.80 : 19,194.30 = 8,411.40 : x
  2. Step 2: Convert to fraction form
    12,817.80/19,194.30 = 8,411.40/x
  3. Step 3: Cross multiply
    12,817.80x = 19,194.30 × 8,411.40
  4. Step 4: Simplify right side
    12,817.80x = 161,450,935.02
  5. Step 5: Solve for x
    x = 161,450,935.02/12,817.80
  6. Step 6: Final answer
    x = 12,595.84

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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.