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Finding the Fourth Proportional to 14,819.64, 22,214.70 and 12,195.24

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Solution

The fourth proportional to 14,819.64, 22,214.70 and 12,195.24 is: 18,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.64 : 22,214.70 = 12,195.24 : x
  2. Step 2: Convert to fraction form
    14,819.64/22,214.70 = 12,195.24/x
  3. Step 3: Cross multiply
    14,819.64x = 22,214.70 × 12,195.24
  4. Step 4: Simplify right side
    14,819.64x = 270,913,598.03
  5. Step 5: Solve for x
    x = 270,913,598.03/14,819.64
  6. Step 6: Final answer
    x = 18,280.71

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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.