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Finding the Fourth Proportional to 20,667.58, 30,991.64 and 14,434.63

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Solution

The fourth proportional to 20,667.58, 30,991.64 and 14,434.63 is: 21,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,667.58 : 30,991.64 = 14,434.63 : x
  2. Step 2: Convert to fraction form
    20,667.58/30,991.64 = 14,434.63/x
  3. Step 3: Cross multiply
    20,667.58x = 30,991.64 × 14,434.63
  4. Step 4: Simplify right side
    20,667.58x = 447,352,856.49
  5. Step 5: Solve for x
    x = 447,352,856.49/20,667.58
  6. Step 6: Final answer
    x = 21,645.15

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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.