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Finding the Fourth Proportional to 13,478.70, 20,212.65 and 4,709.10

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Solution

The fourth proportional to 13,478.70, 20,212.65 and 4,709.10 is: 7,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.70 : 20,212.65 = 4,709.10 : x
  2. Step 2: Convert to fraction form
    13,478.70/20,212.65 = 4,709.10/x
  3. Step 3: Cross multiply
    13,478.70x = 20,212.65 × 4,709.10
  4. Step 4: Simplify right side
    13,478.70x = 95,183,390.12
  5. Step 5: Solve for x
    x = 95,183,390.12/13,478.70
  6. Step 6: Final answer
    x = 7,061.76

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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.