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Finding the Fourth Proportional to 13,744.20, 18,965.72 and 7,776.32

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Solution

The fourth proportional to 13,744.20, 18,965.72 and 7,776.32 is: 10,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.20 : 18,965.72 = 7,776.32 : x
  2. Step 2: Convert to fraction form
    13,744.20/18,965.72 = 7,776.32/x
  3. Step 3: Cross multiply
    13,744.20x = 18,965.72 × 7,776.32
  4. Step 4: Simplify right side
    13,744.20x = 147,483,507.75
  5. Step 5: Solve for x
    x = 147,483,507.75/13,744.20
  6. Step 6: Final answer
    x = 10,730.60

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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.