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Finding the Fourth Proportional to 25,378.40, 38,063.40 and 8,511.20

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Solution

The fourth proportional to 25,378.40, 38,063.40 and 8,511.20 is: 12,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.40 : 38,063.40 = 8,511.20 : x
  2. Step 2: Convert to fraction form
    25,378.40/38,063.40 = 8,511.20/x
  3. Step 3: Cross multiply
    25,378.40x = 38,063.40 × 8,511.20
  4. Step 4: Simplify right side
    25,378.40x = 323,965,210.08
  5. Step 5: Solve for x
    x = 323,965,210.08/25,378.40
  6. Step 6: Final answer
    x = 12,765.39

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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.