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Finding the Fourth Proportional to 13,564.34, 20,348.33 and 12,744.21

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Solution

The fourth proportional to 13,564.34, 20,348.33 and 12,744.21 is: 19,118.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.34 : 20,348.33 = 12,744.21 : x
  2. Step 2: Convert to fraction form
    13,564.34/20,348.33 = 12,744.21/x
  3. Step 3: Cross multiply
    13,564.34x = 20,348.33 × 12,744.21
  4. Step 4: Simplify right side
    13,564.34x = 259,323,390.67
  5. Step 5: Solve for x
    x = 259,323,390.67/13,564.34
  6. Step 6: Final answer
    x = 19,118.02

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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.