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Finding the Fourth Proportional to 10,226.80, 15,340.20 and 8,574.40

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Solution

The fourth proportional to 10,226.80, 15,340.20 and 8,574.40 is: 12,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.80 : 15,340.20 = 8,574.40 : x
  2. Step 2: Convert to fraction form
    10,226.80/15,340.20 = 8,574.40/x
  3. Step 3: Cross multiply
    10,226.80x = 15,340.20 × 8,574.40
  4. Step 4: Simplify right side
    10,226.80x = 131,533,010.88
  5. Step 5: Solve for x
    x = 131,533,010.88/10,226.80
  6. Step 6: Final answer
    x = 12,861.60

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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.