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Finding the Fourth Proportional to 23,871.36, 35,807.14 and 8,076.52

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Solution

The fourth proportional to 23,871.36, 35,807.14 and 8,076.52 is: 12,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,871.36 : 35,807.14 = 8,076.52 : x
  2. Step 2: Convert to fraction form
    23,871.36/35,807.14 = 8,076.52/x
  3. Step 3: Cross multiply
    23,871.36x = 35,807.14 × 8,076.52
  4. Step 4: Simplify right side
    23,871.36x = 289,197,082.35
  5. Step 5: Solve for x
    x = 289,197,082.35/23,871.36
  6. Step 6: Final answer
    x = 12,114.81

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