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Finding the Fourth Proportional to 23,858.28, 35,782.47 and 9,062.01

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Solution

The fourth proportional to 23,858.28, 35,782.47 and 9,062.01 is: 13,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.28 : 35,782.47 = 9,062.01 : x
  2. Step 2: Convert to fraction form
    23,858.28/35,782.47 = 9,062.01/x
  3. Step 3: Cross multiply
    23,858.28x = 35,782.47 × 9,062.01
  4. Step 4: Simplify right side
    23,858.28x = 324,261,100.96
  5. Step 5: Solve for x
    x = 324,261,100.96/23,858.28
  6. Step 6: Final answer
    x = 13,591.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.