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Finding the Fourth Proportional to 13,744.40, 18,968.19 and 7,776.32

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Solution

The fourth proportional to 13,744.40, 18,968.19 and 7,776.32 is: 10,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.40 : 18,968.19 = 7,776.32 : x
  2. Step 2: Convert to fraction form
    13,744.40/18,968.19 = 7,776.32/x
  3. Step 3: Cross multiply
    13,744.40x = 18,968.19 × 7,776.32
  4. Step 4: Simplify right side
    13,744.40x = 147,502,715.26
  5. Step 5: Solve for x
    x = 147,502,715.26/13,744.40
  6. Step 6: Final answer
    x = 10,731.84

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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.