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Finding the Fourth Proportional to 12,823.80, 19,235.70 and 8,446.20

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Solution

The fourth proportional to 12,823.80, 19,235.70 and 8,446.20 is: 12,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.80 : 19,235.70 = 8,446.20 : x
  2. Step 2: Convert to fraction form
    12,823.80/19,235.70 = 8,446.20/x
  3. Step 3: Cross multiply
    12,823.80x = 19,235.70 × 8,446.20
  4. Step 4: Simplify right side
    12,823.80x = 162,468,569.34
  5. Step 5: Solve for x
    x = 162,468,569.34/12,823.80
  6. Step 6: Final answer
    x = 12,669.30

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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.