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Finding the Fourth Proportional to 13,741.28, 18,963.92 and 7,773

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Solution

The fourth proportional to 13,741.28, 18,963.92 and 7,773 is: 10,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,741.28 : 18,963.92 = 7,773 : x
  2. Step 2: Convert to fraction form
    13,741.28/18,963.92 = 7,773/x
  3. Step 3: Cross multiply
    13,741.28x = 18,963.92 × 7,773
  4. Step 4: Simplify right side
    13,741.28x = 147,406,550.16
  5. Step 5: Solve for x
    x = 147,406,550.16/13,741.28
  6. Step 6: Final answer
    x = 10,727.28

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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.