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Finding the Fourth Proportional to 13,804.56, 20,573.64 and 13,782.60

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Solution

The fourth proportional to 13,804.56, 20,573.64 and 13,782.60 is: 20,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.56 : 20,573.64 = 13,782.60 : x
  2. Step 2: Convert to fraction form
    13,804.56/20,573.64 = 13,782.60/x
  3. Step 3: Cross multiply
    13,804.56x = 20,573.64 × 13,782.60
  4. Step 4: Simplify right side
    13,804.56x = 283,558,250.66
  5. Step 5: Solve for x
    x = 283,558,250.66/13,804.56
  6. Step 6: Final answer
    x = 20,540.91

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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.