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Finding the Fourth Proportional to 12,176.40, 18,264.50 and 3,856.42

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Solution

The fourth proportional to 12,176.40, 18,264.50 and 3,856.42 is: 5,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.40 : 18,264.50 = 3,856.42 : x
  2. Step 2: Convert to fraction form
    12,176.40/18,264.50 = 3,856.42/x
  3. Step 3: Cross multiply
    12,176.40x = 18,264.50 × 3,856.42
  4. Step 4: Simplify right side
    12,176.40x = 70,435,583.09
  5. Step 5: Solve for x
    x = 70,435,583.09/12,176.40
  6. Step 6: Final answer
    x = 5,784.60

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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.