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Finding the Fourth Proportional to 13,638.90, 18,825.96 and 9,923.70

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Solution

The fourth proportional to 13,638.90, 18,825.96 and 9,923.70 is: 13,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.90 : 18,825.96 = 9,923.70 : x
  2. Step 2: Convert to fraction form
    13,638.90/18,825.96 = 9,923.70/x
  3. Step 3: Cross multiply
    13,638.90x = 18,825.96 × 9,923.70
  4. Step 4: Simplify right side
    13,638.90x = 186,823,179.25
  5. Step 5: Solve for x
    x = 186,823,179.25/13,638.90
  6. Step 6: Final answer
    x = 13,697.82

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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.