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Finding the Fourth Proportional to 10,226.80, 15,340.20 and 8,498.80

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Solution

The fourth proportional to 10,226.80, 15,340.20 and 8,498.80 is: 12,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.80 : 15,340.20 = 8,498.80 : x
  2. Step 2: Convert to fraction form
    10,226.80/15,340.20 = 8,498.80/x
  3. Step 3: Cross multiply
    10,226.80x = 15,340.20 × 8,498.80
  4. Step 4: Simplify right side
    10,226.80x = 130,373,291.76
  5. Step 5: Solve for x
    x = 130,373,291.76/10,226.80
  6. Step 6: Final answer
    x = 12,748.20

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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.