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Finding the Fourth Proportional to 12,237.20, 16,877.94 and 8,252

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Solution

The fourth proportional to 12,237.20, 16,877.94 and 8,252 is: 11,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.20 : 16,877.94 = 8,252 : x
  2. Step 2: Convert to fraction form
    12,237.20/16,877.94 = 8,252/x
  3. Step 3: Cross multiply
    12,237.20x = 16,877.94 × 8,252
  4. Step 4: Simplify right side
    12,237.20x = 139,276,760.88
  5. Step 5: Solve for x
    x = 139,276,760.88/12,237.20
  6. Step 6: Final answer
    x = 11,381.42

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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.