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Finding the Fourth Proportional to 19,407.25, 26,782.01 and 11,023.75

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Solution

The fourth proportional to 19,407.25, 26,782.01 and 11,023.75 is: 15,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407.25 : 26,782.01 = 11,023.75 : x
  2. Step 2: Convert to fraction form
    19,407.25/26,782.01 = 11,023.75/x
  3. Step 3: Cross multiply
    19,407.25x = 26,782.01 × 11,023.75
  4. Step 4: Simplify right side
    19,407.25x = 295,238,182.74
  5. Step 5: Solve for x
    x = 295,238,182.74/19,407.25
  6. Step 6: Final answer
    x = 15,212.78

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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.