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Finding the Fourth Proportional to 13,654.70, 18,843.44 and 7,686.38

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Solution

The fourth proportional to 13,654.70, 18,843.44 and 7,686.38 is: 10,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.70 : 18,843.44 = 7,686.38 : x
  2. Step 2: Convert to fraction form
    13,654.70/18,843.44 = 7,686.38/x
  3. Step 3: Cross multiply
    13,654.70x = 18,843.44 × 7,686.38
  4. Step 4: Simplify right side
    13,654.70x = 144,837,849.02
  5. Step 5: Solve for x
    x = 144,837,849.02/13,654.70
  6. Step 6: Final answer
    x = 10,607.18

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Why These Related Problems?

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