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Finding the Fourth Proportional to 23,203.28, 32,026.02 and 13,777.28

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Solution

The fourth proportional to 23,203.28, 32,026.02 and 13,777.28 is: 19,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.28 : 32,026.02 = 13,777.28 : x
  2. Step 2: Convert to fraction form
    23,203.28/32,026.02 = 13,777.28/x
  3. Step 3: Cross multiply
    23,203.28x = 32,026.02 × 13,777.28
  4. Step 4: Simplify right side
    23,203.28x = 441,231,444.83
  5. Step 5: Solve for x
    x = 441,231,444.83/23,203.28
  6. Step 6: Final answer
    x = 19,015.91

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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.