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Finding the Fourth Proportional to 13,744, 18,966.72 and 7,775.54

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Solution

The fourth proportional to 13,744, 18,966.72 and 7,775.54 is: 10,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744 : 18,966.72 = 7,775.54 : x
  2. Step 2: Convert to fraction form
    13,744/18,966.72 = 7,775.54/x
  3. Step 3: Cross multiply
    13,744x = 18,966.72 × 7,775.54
  4. Step 4: Simplify right side
    13,744x = 147,476,490.03
  5. Step 5: Solve for x
    x = 147,476,490.03/13,744
  6. Step 6: Final answer
    x = 10,730.25

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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.