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Finding the Fourth Proportional to 13,813.76, 20,622.16 and 13,327.76

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Solution

The fourth proportional to 13,813.76, 20,622.16 and 13,327.76 is: 19,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.76 : 20,622.16 = 13,327.76 : x
  2. Step 2: Convert to fraction form
    13,813.76/20,622.16 = 13,327.76/x
  3. Step 3: Cross multiply
    13,813.76x = 20,622.16 × 13,327.76
  4. Step 4: Simplify right side
    13,813.76x = 274,847,199.16
  5. Step 5: Solve for x
    x = 274,847,199.16/13,813.76
  6. Step 6: Final answer
    x = 19,896.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.