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Finding the Fourth Proportional to 13,338.12, 18,405.54 and 7,749.48

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Solution

The fourth proportional to 13,338.12, 18,405.54 and 7,749.48 is: 10,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.12 : 18,405.54 = 7,749.48 : x
  2. Step 2: Convert to fraction form
    13,338.12/18,405.54 = 7,749.48/x
  3. Step 3: Cross multiply
    13,338.12x = 18,405.54 × 7,749.48
  4. Step 4: Simplify right side
    13,338.12x = 142,633,364.12
  5. Step 5: Solve for x
    x = 142,633,364.12/13,338.12
  6. Step 6: Final answer
    x = 10,693.66

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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.