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Finding the Fourth Proportional to 13,744.56, 20,620.56 and 9,800.76

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Solution

The fourth proportional to 13,744.56, 20,620.56 and 9,800.76 is: 14,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.56 : 20,620.56 = 9,800.76 : x
  2. Step 2: Convert to fraction form
    13,744.56/20,620.56 = 9,800.76/x
  3. Step 3: Cross multiply
    13,744.56x = 20,620.56 × 9,800.76
  4. Step 4: Simplify right side
    13,744.56x = 202,097,159.63
  5. Step 5: Solve for x
    x = 202,097,159.63/13,744.56
  6. Step 6: Final answer
    x = 14,703.79

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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.