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Finding the Fourth Proportional to 23,871.87, 35,807.82 and 9,077.37

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Solution

The fourth proportional to 23,871.87, 35,807.82 and 9,077.37 is: 13,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.87 : 35,807.82 = 9,077.37 : x
  2. Step 2: Convert to fraction form
    23,871.87/35,807.82 = 9,077.37/x
  3. Step 3: Cross multiply
    23,871.87x = 35,807.82 × 9,077.37
  4. Step 4: Simplify right side
    23,871.87x = 325,040,831.03
  5. Step 5: Solve for x
    x = 325,040,831.03/23,871.87
  6. Step 6: Final answer
    x = 13,616.06

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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.