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Finding the Fourth Proportional to 13,667.13, 20,497.05 and 5,874.12

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Solution

The fourth proportional to 13,667.13, 20,497.05 and 5,874.12 is: 8,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.13 : 20,497.05 = 5,874.12 : x
  2. Step 2: Convert to fraction form
    13,667.13/20,497.05 = 5,874.12/x
  3. Step 3: Cross multiply
    13,667.13x = 20,497.05 × 5,874.12
  4. Step 4: Simplify right side
    13,667.13x = 120,402,131.35
  5. Step 5: Solve for x
    x = 120,402,131.35/13,667.13
  6. Step 6: Final answer
    x = 8,809.61

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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.