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Finding the Fourth Proportional to 25,559.82, 35,272.26 and 14,229

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Solution

The fourth proportional to 25,559.82, 35,272.26 and 14,229 is: 19,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,559.82 : 35,272.26 = 14,229 : x
  2. Step 2: Convert to fraction form
    25,559.82/35,272.26 = 14,229/x
  3. Step 3: Cross multiply
    25,559.82x = 35,272.26 × 14,229
  4. Step 4: Simplify right side
    25,559.82x = 501,888,987.54
  5. Step 5: Solve for x
    x = 501,888,987.54/25,559.82
  6. Step 6: Final answer
    x = 19,635.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.