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Finding the Fourth Proportional to 14,822.30, 22,213.85 and 7,787.94

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Solution

The fourth proportional to 14,822.30, 22,213.85 and 7,787.94 is: 11,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.30 : 22,213.85 = 7,787.94 : x
  2. Step 2: Convert to fraction form
    14,822.30/22,213.85 = 7,787.94/x
  3. Step 3: Cross multiply
    14,822.30x = 22,213.85 × 7,787.94
  4. Step 4: Simplify right side
    14,822.30x = 173,000,130.97
  5. Step 5: Solve for x
    x = 173,000,130.97/14,822.30
  6. Step 6: Final answer
    x = 11,671.61

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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.