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Finding the Fourth Proportional to 13,576.34, 18,733.83 and 7,909.91

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Solution

The fourth proportional to 13,576.34, 18,733.83 and 7,909.91 is: 10,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.34 : 18,733.83 = 7,909.91 : x
  2. Step 2: Convert to fraction form
    13,576.34/18,733.83 = 7,909.91/x
  3. Step 3: Cross multiply
    13,576.34x = 18,733.83 × 7,909.91
  4. Step 4: Simplify right side
    13,576.34x = 148,182,815.59
  5. Step 5: Solve for x
    x = 148,182,815.59/13,576.34
  6. Step 6: Final answer
    x = 10,914.79

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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.