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Finding the Fourth Proportional to 12,283.38, 18,411.92 and 6,354.29

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Solution

The fourth proportional to 12,283.38, 18,411.92 and 6,354.29 is: 9,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.38 : 18,411.92 = 6,354.29 : x
  2. Step 2: Convert to fraction form
    12,283.38/18,411.92 = 6,354.29/x
  3. Step 3: Cross multiply
    12,283.38x = 18,411.92 × 6,354.29
  4. Step 4: Simplify right side
    12,283.38x = 116,994,701.18
  5. Step 5: Solve for x
    x = 116,994,701.18/12,283.38
  6. Step 6: Final answer
    x = 9,524.63

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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.