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Finding the Fourth Proportional to 23,365.98, 35,019.80 and 11,682.54

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Solution

The fourth proportional to 23,365.98, 35,019.80 and 11,682.54 is: 17,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,365.98 : 35,019.80 = 11,682.54 : x
  2. Step 2: Convert to fraction form
    23,365.98/35,019.80 = 11,682.54/x
  3. Step 3: Cross multiply
    23,365.98x = 35,019.80 × 11,682.54
  4. Step 4: Simplify right side
    23,365.98x = 409,120,243.50
  5. Step 5: Solve for x
    x = 409,120,243.50/23,365.98
  6. Step 6: Final answer
    x = 17,509.23

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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.