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Finding the Fourth Proportional to 12,283.92, 18,433.44 and 7,354.80

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Solution

The fourth proportional to 12,283.92, 18,433.44 and 7,354.80 is: 11,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.92 : 18,433.44 = 7,354.80 : x
  2. Step 2: Convert to fraction form
    12,283.92/18,433.44 = 7,354.80/x
  3. Step 3: Cross multiply
    12,283.92x = 18,433.44 × 7,354.80
  4. Step 4: Simplify right side
    12,283.92x = 135,574,264.51
  5. Step 5: Solve for x
    x = 135,574,264.51/12,283.92
  6. Step 6: Final answer
    x = 11,036.73

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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.