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Finding the Fourth Proportional to 13,053.96, 18,014.49 and 7,749.84

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Solution

The fourth proportional to 13,053.96, 18,014.49 and 7,749.84 is: 10,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.96 : 18,014.49 = 7,749.84 : x
  2. Step 2: Convert to fraction form
    13,053.96/18,014.49 = 7,749.84/x
  3. Step 3: Cross multiply
    13,053.96x = 18,014.49 × 7,749.84
  4. Step 4: Simplify right side
    13,053.96x = 139,609,415.18
  5. Step 5: Solve for x
    x = 139,609,415.18/13,053.96
  6. Step 6: Final answer
    x = 10,694.79

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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.