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Finding the Fourth Proportional to 23,858.01, 32,923.80 and 13,786.20

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Solution

The fourth proportional to 23,858.01, 32,923.80 and 13,786.20 is: 19,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.01 : 32,923.80 = 13,786.20 : x
  2. Step 2: Convert to fraction form
    23,858.01/32,923.80 = 13,786.20/x
  3. Step 3: Cross multiply
    23,858.01x = 32,923.80 × 13,786.20
  4. Step 4: Simplify right side
    23,858.01x = 453,894,091.56
  5. Step 5: Solve for x
    x = 453,894,091.56/23,858.01
  6. Step 6: Final answer
    x = 19,024.81

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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.