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Finding the Fourth Proportional to 13,597.56, 18,764.64 and 7,629.84

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Solution

The fourth proportional to 13,597.56, 18,764.64 and 7,629.84 is: 10,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.56 : 18,764.64 = 7,629.84 : x
  2. Step 2: Convert to fraction form
    13,597.56/18,764.64 = 7,629.84/x
  3. Step 3: Cross multiply
    13,597.56x = 18,764.64 × 7,629.84
  4. Step 4: Simplify right side
    13,597.56x = 143,171,200.86
  5. Step 5: Solve for x
    x = 143,171,200.86/13,597.56
  6. Step 6: Final answer
    x = 10,529.18

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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.