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Finding the Fourth Proportional to 12,188.74, 18,283.11 and 2,954.74

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Solution

The fourth proportional to 12,188.74, 18,283.11 and 2,954.74 is: 4,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.74 : 18,283.11 = 2,954.74 : x
  2. Step 2: Convert to fraction form
    12,188.74/18,283.11 = 2,954.74/x
  3. Step 3: Cross multiply
    12,188.74x = 18,283.11 × 2,954.74
  4. Step 4: Simplify right side
    12,188.74x = 54,021,730.25
  5. Step 5: Solve for x
    x = 54,021,730.25/12,188.74
  6. Step 6: Final answer
    x = 4,432.10

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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.