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Finding the Fourth Proportional to 23,860.63, 35,782.44 and 9,073.54

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Solution

The fourth proportional to 23,860.63, 35,782.44 and 9,073.54 is: 13,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,860.63 : 35,782.44 = 9,073.54 : x
  2. Step 2: Convert to fraction form
    23,860.63/35,782.44 = 9,073.54/x
  3. Step 3: Cross multiply
    23,860.63x = 35,782.44 × 9,073.54
  4. Step 4: Simplify right side
    23,860.63x = 324,673,400.64
  5. Step 5: Solve for x
    x = 324,673,400.64/23,860.63
  6. Step 6: Final answer
    x = 13,607.08

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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.