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Finding the Fourth Proportional to 13,744.90, 20,628.29 and 4,982.32

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Solution

The fourth proportional to 13,744.90, 20,628.29 and 4,982.32 is: 7,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.90 : 20,628.29 = 4,982.32 : x
  2. Step 2: Convert to fraction form
    13,744.90/20,628.29 = 4,982.32/x
  3. Step 3: Cross multiply
    13,744.90x = 20,628.29 × 4,982.32
  4. Step 4: Simplify right side
    13,744.90x = 102,776,741.83
  5. Step 5: Solve for x
    x = 102,776,741.83/13,744.90
  6. Step 6: Final answer
    x = 7,477.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.