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Finding the Fourth Proportional to 13,667.90, 20,494.28 and 4,780.85

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Solution

The fourth proportional to 13,667.90, 20,494.28 and 4,780.85 is: 7,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.90 : 20,494.28 = 4,780.85 : x
  2. Step 2: Convert to fraction form
    13,667.90/20,494.28 = 4,780.85/x
  3. Step 3: Cross multiply
    13,667.90x = 20,494.28 × 4,780.85
  4. Step 4: Simplify right side
    13,667.90x = 97,980,054.63
  5. Step 5: Solve for x
    x = 97,980,054.63/13,667.90
  6. Step 6: Final answer
    x = 7,168.63

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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.