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Finding the Fourth Proportional to 13,694.66, 18,897.47 and 7,644.35

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Solution

The fourth proportional to 13,694.66, 18,897.47 and 7,644.35 is: 10,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.66 : 18,897.47 = 7,644.35 : x
  2. Step 2: Convert to fraction form
    13,694.66/18,897.47 = 7,644.35/x
  3. Step 3: Cross multiply
    13,694.66x = 18,897.47 × 7,644.35
  4. Step 4: Simplify right side
    13,694.66x = 144,458,874.79
  5. Step 5: Solve for x
    x = 144,458,874.79/13,694.66
  6. Step 6: Final answer
    x = 10,548.56

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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.