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Finding the Fourth Proportional to 13,223.88, 19,809.90 and 9,517.32

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Solution

The fourth proportional to 13,223.88, 19,809.90 and 9,517.32 is: 14,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.88 : 19,809.90 = 9,517.32 : x
  2. Step 2: Convert to fraction form
    13,223.88/19,809.90 = 9,517.32/x
  3. Step 3: Cross multiply
    13,223.88x = 19,809.90 × 9,517.32
  4. Step 4: Simplify right side
    13,223.88x = 188,537,157.47
  5. Step 5: Solve for x
    x = 188,537,157.47/13,223.88
  6. Step 6: Final answer
    x = 14,257.33

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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.