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Finding the Fourth Proportional to 13,813.92, 20,713.05 and 9,436.68

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Solution

The fourth proportional to 13,813.92, 20,713.05 and 9,436.68 is: 14,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.92 : 20,713.05 = 9,436.68 : x
  2. Step 2: Convert to fraction form
    13,813.92/20,713.05 = 9,436.68/x
  3. Step 3: Cross multiply
    13,813.92x = 20,713.05 × 9,436.68
  4. Step 4: Simplify right side
    13,813.92x = 195,462,424.67
  5. Step 5: Solve for x
    x = 195,462,424.67/13,813.92
  6. Step 6: Final answer
    x = 14,149.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.