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Finding the Fourth Proportional to 12,578.40, 18,856.44 and 6,330.24

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Solution

The fourth proportional to 12,578.40, 18,856.44 and 6,330.24 is: 9,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.40 : 18,856.44 = 6,330.24 : x
  2. Step 2: Convert to fraction form
    12,578.40/18,856.44 = 6,330.24/x
  3. Step 3: Cross multiply
    12,578.40x = 18,856.44 × 6,330.24
  4. Step 4: Simplify right side
    12,578.40x = 119,365,790.75
  5. Step 5: Solve for x
    x = 119,365,790.75/12,578.40
  6. Step 6: Final answer
    x = 9,489.74

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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.