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Finding the Fourth Proportional to 16,237.75, 22,408.10 and 8,785.75

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Solution

The fourth proportional to 16,237.75, 22,408.10 and 8,785.75 is: 12,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.75 : 22,408.10 = 8,785.75 : x
  2. Step 2: Convert to fraction form
    16,237.75/22,408.10 = 8,785.75/x
  3. Step 3: Cross multiply
    16,237.75x = 22,408.10 × 8,785.75
  4. Step 4: Simplify right side
    16,237.75x = 196,871,964.58
  5. Step 5: Solve for x
    x = 196,871,964.58/16,237.75
  6. Step 6: Final answer
    x = 12,124.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.