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Finding the Fourth Proportional to 12,813.67, 19,223.07 and 5,418.10

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Solution

The fourth proportional to 12,813.67, 19,223.07 and 5,418.10 is: 8,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.67 : 19,223.07 = 5,418.10 : x
  2. Step 2: Convert to fraction form
    12,813.67/19,223.07 = 5,418.10/x
  3. Step 3: Cross multiply
    12,813.67x = 19,223.07 × 5,418.10
  4. Step 4: Simplify right side
    12,813.67x = 104,152,515.57
  5. Step 5: Solve for x
    x = 104,152,515.57/12,813.67
  6. Step 6: Final answer
    x = 8,128.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.