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Finding the Fourth Proportional to 14,664, 20,166.66 and 11,644.32

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Solution

The fourth proportional to 14,664, 20,166.66 and 11,644.32 is: 16,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,664 : 20,166.66 = 11,644.32 : x
  2. Step 2: Convert to fraction form
    14,664/20,166.66 = 11,644.32/x
  3. Step 3: Cross multiply
    14,664x = 20,166.66 × 11,644.32
  4. Step 4: Simplify right side
    14,664x = 234,827,042.37
  5. Step 5: Solve for x
    x = 234,827,042.37/14,664
  6. Step 6: Final answer
    x = 16,013.85

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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.