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Finding the Fourth Proportional to 13,233.65, 19,749.96 and 12,697.83

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Solution

The fourth proportional to 13,233.65, 19,749.96 and 12,697.83 is: 18,950.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.65 : 19,749.96 = 12,697.83 : x
  2. Step 2: Convert to fraction form
    13,233.65/19,749.96 = 12,697.83/x
  3. Step 3: Cross multiply
    13,233.65x = 19,749.96 × 12,697.83
  4. Step 4: Simplify right side
    13,233.65x = 250,781,634.59
  5. Step 5: Solve for x
    x = 250,781,634.59/13,233.65
  6. Step 6: Final answer
    x = 18,950.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.