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Finding the Fourth Proportional to 12,171.20, 18,256.80 and 8,254.40

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Solution

The fourth proportional to 12,171.20, 18,256.80 and 8,254.40 is: 12,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.20 : 18,256.80 = 8,254.40 : x
  2. Step 2: Convert to fraction form
    12,171.20/18,256.80 = 8,254.40/x
  3. Step 3: Cross multiply
    12,171.20x = 18,256.80 × 8,254.40
  4. Step 4: Simplify right side
    12,171.20x = 150,698,929.92
  5. Step 5: Solve for x
    x = 150,698,929.92/12,171.20
  6. Step 6: Final answer
    x = 12,381.60

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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.