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Finding the Fourth Proportional to 13,801.08, 19,044.77 and 7,834.67

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Solution

The fourth proportional to 13,801.08, 19,044.77 and 7,834.67 is: 10,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.08 : 19,044.77 = 7,834.67 : x
  2. Step 2: Convert to fraction form
    13,801.08/19,044.77 = 7,834.67/x
  3. Step 3: Cross multiply
    13,801.08x = 19,044.77 × 7,834.67
  4. Step 4: Simplify right side
    13,801.08x = 149,209,576.39
  5. Step 5: Solve for x
    x = 149,209,576.39/13,801.08
  6. Step 6: Final answer
    x = 10,811.44

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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.