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Finding the Fourth Proportional to 14,819.20, 22,228.80 and 8,972.80

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Solution

The fourth proportional to 14,819.20, 22,228.80 and 8,972.80 is: 13,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.20 : 22,228.80 = 8,972.80 : x
  2. Step 2: Convert to fraction form
    14,819.20/22,228.80 = 8,972.80/x
  3. Step 3: Cross multiply
    14,819.20x = 22,228.80 × 8,972.80
  4. Step 4: Simplify right side
    14,819.20x = 199,454,576.64
  5. Step 5: Solve for x
    x = 199,454,576.64/14,819.20
  6. Step 6: Final answer
    x = 13,459.20

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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.