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Finding the Fourth Proportional to 13,772.96, 20,782.54 and 13,772.96

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Solution

The fourth proportional to 13,772.96, 20,782.54 and 13,772.96 is: 20,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.96 : 20,782.54 = 13,772.96 : x
  2. Step 2: Convert to fraction form
    13,772.96/20,782.54 = 13,772.96/x
  3. Step 3: Cross multiply
    13,772.96x = 20,782.54 × 13,772.96
  4. Step 4: Simplify right side
    13,772.96x = 286,237,092.12
  5. Step 5: Solve for x
    x = 286,237,092.12/13,772.96
  6. Step 6: Final answer
    x = 20,782.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.